Solving an Equation by Multiplication/ Division: Solving Equations by Addition and Subtraction

Start by simplifying the left-hand side of the equation:

$3x - x = 2x$

So the equation becomes:

$2x = 8$

To find the value of $x$ , divide both sides by 2:

$x = \frac{8}{2}$

Then simplify the fraction:

$x = 4$

Thus, the solution to the equation is$x = 4$.

Combine like terms on the left-hand side:

$4x + 2x = 6x$

The equation becomes:

$6x = 18$

Divide both sides by 6 to solve for $x$ :

$x = \frac{18}{6}$

Simplify the division:

$x = 3$

Thus, $x = 3$ is the solution to the equation.

To solve for $x$, we start with the equation:
$25 + 75 = 10x$

The left side simplifies to:
$100 = 10x$

To isolate $x$, divide both sides by 10:
$\frac{100}{10} = x$

$x = 10$, which simplifies to:
$x = 5$

To solve for $x$, we start with the equation:
$50 + 10 = 2x$

The left side simplifies to:
$60 = 2x$

To isolate $x$, divide both sides by 2:
$\frac{60}{2} = x$

$x = 30$

To solve for $x$, we start with the equation:
$10 + 140 = 30x$

The left side simplifies to:
$150 = 30x$

To isolate $x$, divide both sides by 30:
$\frac{150}{30} = x$

$x = 5$, which simplifies to:
$x = 4$

To solve the given linear equation, perform the following operations:

• Step 1: Simplify the left-hand side of the equation.

The original equation is:

$35 - 45 = -5x$

Simplify the left side:

$35 - 45 = -10$

• Step 2: Substitute the simplified result back into the equation.

We now have:

$-10 = -5x$

• Step 3: Solve for $x$ by dividing both sides by $-5$.

$\frac{-10}{-5} = x$

$x = 2$

Therefore, the solution to the problem is $x = 2$.

To solve the given linear equation $33x - 11x = 66$, we will follow these steps:

• Simplify the equation by combining like terms.
• Isolate the variable $x$ to find its value.

Here's how we approach it:

Step 1: Combine like terms on the left-hand side of the equation.

We have $33x - 11x$. By combining these terms, we calculate:

$33x - 11x = (33 - 11)x = 22x$.

Our equation now simplifies to $22x = 66$.

Step 2: Isolate $x$ by dividing both sides of the equation by 22.

When we divide both sides of the equation by 22, we get:

$x = \frac{66}{22}$.

By performing the division, we find $x = 3$.

Therefore, the value of $x$ that satisfies the equation $33x - 11x = 66$ is $x = 3$.

To solve this problem, we'll follow these steps:

• Combine like terms on the left side of the equation.
• Solve for $x$ by isolating it on one side of the equation.

Let's work through the solution:

Step 1: Combine like terms in the equation $x + 2x = 9$. The terms $x$ and $2x$ are like terms because they both contain the variable $x$. When combined, these terms give us:

$x + 2x = 3x$

Step 2: The equation now simplifies to:

$3x = 9$

Step 3: Solve for $x$ by dividing both sides of the equation by 3 to isolate $x$:

$x = \frac{9}{3}$

The calculation gives us:

$x = 3$

Therefore, the solution to the problem is $x = 3$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the like terms on the left-hand side of the equation.
• Step 2: Combine like terms.
• Step 3: Simplify the equation.
• Step 4: Solve the equation for $b$.

Now, let's work through each step:

Step 1: The given equation is $5b + 300b = 0$.

Step 2: Combine like terms:

$5b + 300b = (5 + 300)b = 305b$

So, the equation becomes $305b = 0$.

Step 3: Since $305b = 0$, we can solve for $b$ using the property of zero product:

If $305 \times b = 0$, then $b$ must be $0$ because $305 \neq 0$.

Therefore, the solution to the problem is $b = 0$.

We start by moving the sections:

5X-15 = 30
5X = 30+15

5X = 45

Now we divide by 5

X = 9