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

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


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

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

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

Combine like terms: -12 + 6 = -6
-6 + 6x = 4(2x + -6)

Reorder the terms:
-6 + 6x = 4(-6 + 2x)
-6 + 6x = (-6 * 4 + 2x * 4)
-6 + 6x = (-24 + 8x)

Solving
-6 + 6x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 6x + -8x = -24 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-6 + -2x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -2x = -24 + 0
-6 + -2x = -24

Add '6' to each side of the equation.
-6 + 6 + -2x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -24 + 6
-2x = -24 + 6

Combine like terms: -24 + 6 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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