9x-2(x-2)=4-(x-2)

Solution for 9x-2(x-2)=4-(x-2) equation:

Simplifying
9x + -2(x + -2) = 4 + -1(x + -2)

Reorder the terms:
9x + -2(-2 + x) = 4 + -1(x + -2)
9x + (-2 * -2 + x * -2) = 4 + -1(x + -2)
9x + (4 + -2x) = 4 + -1(x + -2)

Reorder the terms:
4 + 9x + -2x = 4 + -1(x + -2)

Combine like terms: 9x + -2x = 7x
4 + 7x = 4 + -1(x + -2)

Reorder the terms:
4 + 7x = 4 + -1(-2 + x)
4 + 7x = 4 + (-2 * -1 + x * -1)
4 + 7x = 4 + (2 + -1x)

Combine like terms: 4 + 2 = 6
4 + 7x = 6 + -1x

Solving
4 + 7x = 6 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
4 + 7x + x = 6 + -1x + x

Combine like terms: 7x + x = 8x
4 + 8x = 6 + -1x + x

Combine like terms: -1x + x = 0
4 + 8x = 6 + 0
4 + 8x = 6

Add '-4' to each side of the equation.
4 + -4 + 8x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 6 + -4
8x = 6 + -4

Combine like terms: 6 + -4 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25