(x+7)-3x=4(2-x)-3(x-3)

Jasonbradley

2 min read

·

Jun 17, 2024

22

Share

Solving the Equation: (x+7)-3x = 4(2-x)-3(x-3)

This article will guide you through the steps of solving the linear equation: (x+7)-3x = 4(2-x)-3(x-3).

Step 1: Simplify both sides of the equation.

• Left side: (x+7)-3x = -2x + 7
• Right side: 4(2-x)-3(x-3) = 8 - 4x - 3x + 9 = 17 - 7x

Now our equation looks like this: -2x + 7 = 17 - 7x

Step 2: Isolate the x terms on one side of the equation.

Add 7x to both sides: -2x + 7 + 7x = 17 - 7x + 7x

This simplifies to: 5x + 7 = 17

Step 3: Isolate the x term.

Subtract 7 from both sides: 5x + 7 - 7 = 17 - 7

This simplifies to: 5x = 10

Step 4: Solve for x.

Divide both sides by 5: 5x / 5 = 10 / 5

This gives us: x = 2

Solution

Therefore, the solution to the equation (x+7)-3x = 4(2-x)-3(x-3) is x = 2.