(12x-7)-(5x+6)=3-(8-2x)

less than a minute read Jun 16, 2024

Solving the Equation: (12x-7)-(5x+6)=3-(8-2x)

This article will guide you through the steps of solving the linear equation: (12x-7)-(5x+6)=3-(8-2x). Let's break down the process to find the value of 'x'.

Step 1: Simplify both sides of the equation

Left side:
- Distribute the negative sign: 12x - 7 - 5x - 6
- Combine like terms: 7x - 13
Right side:
- Distribute the negative sign: 3 - 8 + 2x
- Combine like terms: 2x - 5

Now, the equation is simplified to: 7x - 13 = 2x - 5

Step 2: Isolate 'x' on one side of the equation

Subtract 2x from both sides: 5x - 13 = -5
Add 13 to both sides: 5x = 8

Step 3: Solve for 'x'

Divide both sides by 5: x = 8/5

Solution

Therefore, the solution to the equation (12x-7)-(5x+6)=3-(8-2x) is x = 8/5.