Question

Solve.
6-7x= 7x- 9x - 4
The value of x is _.

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
2

Answer 2

x = 2

Explanation:

Step 1: Write equation

6 - 7x = 7x - 9x - 4

Step 2: Solve for x

1. Combine like terms: 6 - 7x = -2x - 4
2. Add 7x to both sides: 6 = 5x - 4
3. Add 4 to both sides: 10 = 5x
4. Divide both sides by 5: 2 = x
5. Rewrite x = 2

Step 3: Check

Plug in x to verify it's a solution.

6 - 7(2) = 7(2) - 9(2) - 4

6 - 14 = 14 - 18 - 4

-8 = -4 - 4

-8 = -8