4(2x-2)=4(3x+6)

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Solution for 4(2x-2)=4(3x+6) equation:


Simplifying
4(2x + -2) = 4(3x + 6)

Reorder the terms:
4(-2 + 2x) = 4(3x + 6)
(-2 * 4 + 2x * 4) = 4(3x + 6)
(-8 + 8x) = 4(3x + 6)

Reorder the terms:
-8 + 8x = 4(6 + 3x)
-8 + 8x = (6 * 4 + 3x * 4)
-8 + 8x = (24 + 12x)

Solving
-8 + 8x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 8x + -12x = 24 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
-8 + -4x = 24 + 0
-8 + -4x = 24

Add '8' to each side of the equation.
-8 + 8 + -4x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 24 + 8
-4x = 24 + 8

Combine like terms: 24 + 8 = 32
-4x = 32

Divide each side by '-4'.
x = -8

Simplifying
x = -8

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