Solving Equations by using Addition/ Subtraction: Using decimal fractions

To solve the equation $1.5 - x = 2.8$, follow these steps:

• Step 1: Add $x$ to both sides of the equation to get $1.5 = x + 2.8$.
• Step 2: Subtract $2.8$ from both sides to isolate $x$: $1.5 - 2.8 = x$.

Perform the subtraction: $1.5 - 2.8$ results in $-1.3$.

Thus, $x = -1.3$.

The solution to the problem is $\mathbf{x = -1.3}$.

Let's solve the equation $17.6 - x = -11.3$ step by step:

• Step 1: Identify the need to isolate $x$ on one side. We currently have $17.6 - x = -11.3$.
• Step 2: To isolate $x$, add $x$ to both sides of the equation, resulting in $17.6 = x - 11.3$.
• Step 3: Now, add $11.3$ to both sides to solve for $x$:
  $17.6 + 11.3 = x - 11.3 + 11.3$. This simplifies further to $28.9 = x$.

Therefore, the solution to the equation is $x = 28.9$.

To solve the problem, let's go through the steps:

First, we start with the given equation:

$0.7x + 0.5 = -0.3x$

To isolate $x$, we will first combine all the $x$-terms on one side. We do this by adding $0.3x$ to both sides of the equation:

$0.7x + 0.3x + 0.5 = 0$

This simplifies to:

$1x + 0.5 = 0$ or $x + 0.5 = 0$

Next, we isolate $x$ by subtracting $0.5$ from both sides:

$x = -0.5$

Therefore, the solution to the problem is $x = -0.5$.