6(x-6)+6=8x+6

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Solution for 6(x-6)+6=8x+6 equation:


Simplifying
6(x + -6) + 6 = 8x + 6

Reorder the terms:
6(-6 + x) + 6 = 8x + 6
(-6 * 6 + x * 6) + 6 = 8x + 6
(-36 + 6x) + 6 = 8x + 6

Reorder the terms:
-36 + 6 + 6x = 8x + 6

Combine like terms: -36 + 6 = -30
-30 + 6x = 8x + 6

Reorder the terms:
-30 + 6x = 6 + 8x

Solving
-30 + 6x = 6 + 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.
-30 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-30 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-30 + -2x = 6 + 0
-30 + -2x = 6

Add '30' to each side of the equation.
-30 + 30 + -2x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = 6 + 30
-2x = 6 + 30

Combine like terms: 6 + 30 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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