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

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


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

Reorder the terms:
4(-6 + x) + 4 = 6(x + 2) + -6
(-6 * 4 + x * 4) + 4 = 6(x + 2) + -6
(-24 + 4x) + 4 = 6(x + 2) + -6

Reorder the terms:
-24 + 4 + 4x = 6(x + 2) + -6

Combine like terms: -24 + 4 = -20
-20 + 4x = 6(x + 2) + -6

Reorder the terms:
-20 + 4x = 6(2 + x) + -6
-20 + 4x = (2 * 6 + x * 6) + -6
-20 + 4x = (12 + 6x) + -6

Reorder the terms:
-20 + 4x = 12 + -6 + 6x

Combine like terms: 12 + -6 = 6
-20 + 4x = 6 + 6x

Solving
-20 + 4x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 4x + -6x = 6 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-20 + -2x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -2x = 6 + 0
-20 + -2x = 6

Add '20' to each side of the equation.
-20 + 20 + -2x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 6 + 20
-2x = 6 + 20

Combine like terms: 6 + 20 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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