Linear Equations Practice Problems - One Variable Solutions

We start by moving the sections:

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

5X = 45

Now we divide by 5

X = 9

To solve the given equation $4x:30 = 2$, we will follow these steps:

• Step 1: Recognize that $4x:30$ implies $\dfrac{4x}{30} = 2$.

• Step 2: Eliminate the fraction by multiplying both sides of the equation by 30.

• Step 3: Simplify the equation to solve for $x$.

Now, let's work through each step:

Step 1: The equation is written as $\dfrac{4x}{30} = 2$.

Step 2: Multiply both sides of the equation by 30 to eliminate the fraction:
$30 \times \dfrac{4x}{30} = 2 \times 30$

This simplifies to:
$4x = 60$

Step 3: Solve for $x$ by dividing both sides by 4:
$x = \dfrac{60}{4} = 15$

Therefore, the solution to the problem is $x = 15$.

Checking choices, the correct answer is:

$x = 15$

To solve the given equation $7x + 5.5 = 19.5$, we'll follow these steps:

• Step 1: Eliminate the constant term from the left side by subtracting 5.5 from both sides of the equation.
• Step 2: Simplify the equation after subtraction to isolate the term with $x$.
• Step 3: Use division to solve for $x$.

Now, let's work through each step:

Step 1: Subtract 5.5 from both sides.

We have:
$7x + 5.5 - 5.5 = 19.5 - 5.5$

This simplifies to:
$7x = 14$

Step 2: Divide both sides by 7 to solve for $x$.

So, we divide by 7:
$\frac{7x}{7} = \frac{14}{7}$

This simplifies to:
$x = 2$

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

To solve the exercise, we first rewrite the entire division as a fraction:

$\frac{20}{4x}=5$

Actually, we didn't have to do this step, but it's more convenient for the rest of the process.

To get rid of the fraction, we multiply both sides of the equation by the denominator, 4X.

20=5*4X

20=20X

Now we can reduce both sides of the equation by 20 and we will arrive at the result of:

X=1

To solve this linear equation, we need to isolate the variable $x$. Here are the steps to follow:

• Step 1: Simplify the equation by dividing both sides by 10. This gives us:

$\frac{8x \cdot 10}{10} = \frac{80}{10}$

This simplifies to:

$8x = 8$

• Step 2: Now, isolate $x$ by dividing both sides by 8:

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

This simplifies to:

$x = 1$

Therefore, the solution to the equation $8x \cdot 10 = 80$ is

$x = 1$.