4(2x-2)-4=4(x-2)+24

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Solution for 4(2x-2)-4=4(x-2)+24 equation:


Simplifying
4(2x + -2) + -4 = 4(x + -2) + 24

Reorder the terms:
4(-2 + 2x) + -4 = 4(x + -2) + 24
(-2 * 4 + 2x * 4) + -4 = 4(x + -2) + 24
(-8 + 8x) + -4 = 4(x + -2) + 24

Reorder the terms:
-8 + -4 + 8x = 4(x + -2) + 24

Combine like terms: -8 + -4 = -12
-12 + 8x = 4(x + -2) + 24

Reorder the terms:
-12 + 8x = 4(-2 + x) + 24
-12 + 8x = (-2 * 4 + x * 4) + 24
-12 + 8x = (-8 + 4x) + 24

Reorder the terms:
-12 + 8x = -8 + 24 + 4x

Combine like terms: -8 + 24 = 16
-12 + 8x = 16 + 4x

Solving
-12 + 8x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 8x + -4x = 16 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-12 + 4x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 4x = 16 + 0
-12 + 4x = 16

Add '12' to each side of the equation.
-12 + 12 + 4x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 16 + 12
4x = 16 + 12

Combine like terms: 16 + 12 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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