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

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


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

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

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

Combine like terms: -24 + 2 = -22
-22 + 4x = 6(x + 2) + -4

Reorder the terms:
-22 + 4x = 6(2 + x) + -4
-22 + 4x = (2 * 6 + x * 6) + -4
-22 + 4x = (12 + 6x) + -4

Reorder the terms:
-22 + 4x = 12 + -4 + 6x

Combine like terms: 12 + -4 = 8
-22 + 4x = 8 + 6x

Solving
-22 + 4x = 8 + 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.
-22 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-22 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -2x = 8 + 0
-22 + -2x = 8

Add '22' to each side of the equation.
-22 + 22 + -2x = 8 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = 8 + 22
-2x = 8 + 22

Combine like terms: 8 + 22 = 30
-2x = 30

Divide each side by '-2'.
x = -15

Simplifying
x = -15

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