How do I solve for x? 9|9 – 8x| = 2x + 3

Question

anonymous · Answer

Simplifying
x + 9 = 18 + -2x

Reorder the terms:
9 + x = 18 + -2x

Solving
9 + x = 18 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
9 + x + 2x = 18 + -2x + 2x

Combine like terms: x + 2x = 3x
9 + 3x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 3x = 18 + 0
9 + 3x = 18

Add '-9' to each side of the equation.
9 + -9 + 3x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 18 + -9
3x = 18 + -9

Combine like terms: 18 + -9 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3