(5x-3)-(2x-4)=-(x+3)-(x+5)+(x+3)

2 min read Jun 16, 2024

Solving the Equation: (5x-3)-(2x-4)=-(x+3)-(x+5)+(x+3)

This article will guide you through the process of solving the equation (5x-3)-(2x-4)=-(x+3)-(x+5)+(x+3). We will break down each step to ensure a clear understanding.

Step 1: Simplify both sides of the equation

First, we need to simplify both sides of the equation by removing the parentheses and combining like terms.

Left side:
- (5x-3)-(2x-4) = 5x - 3 - 2x + 4 = 3x + 1
Right side:
- -(x+3)-(x+5)+(x+3) = -x - 3 - x - 5 + x + 3 = -x - 5

Now our equation looks like this: 3x + 1 = -x - 5

Step 2: Isolate the x terms

To isolate the x terms, we need to move all terms with x to one side of the equation. Let's add x to both sides:

3x + 1 + x = -x - 5 + x
4x + 1 = -5

Step 3: Isolate the x term

Next, we need to isolate the x term by moving the constant term to the right side of the equation. Subtract 1 from both sides:

4x + 1 - 1 = -5 - 1
4x = -6

Step 4: Solve for x

Finally, we can solve for x by dividing both sides by 4:

4x / 4 = -6 / 4
x = -3/2

Solution

Therefore, the solution to the equation (5x-3)-(2x-4)=-(x+3)-(x+5)+(x+3) is x = -3/2.