6(6x-6)+6=8(x+2)-10

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Solution for 6(6x-6)+6=8(x+2)-10 equation:


Simplifying
6(6x + -6) + 6 = 8(x + 2) + -10

Reorder the terms:
6(-6 + 6x) + 6 = 8(x + 2) + -10
(-6 * 6 + 6x * 6) + 6 = 8(x + 2) + -10
(-36 + 36x) + 6 = 8(x + 2) + -10

Reorder the terms:
-36 + 6 + 36x = 8(x + 2) + -10

Combine like terms: -36 + 6 = -30
-30 + 36x = 8(x + 2) + -10

Reorder the terms:
-30 + 36x = 8(2 + x) + -10
-30 + 36x = (2 * 8 + x * 8) + -10
-30 + 36x = (16 + 8x) + -10

Reorder the terms:
-30 + 36x = 16 + -10 + 8x

Combine like terms: 16 + -10 = 6
-30 + 36x = 6 + 8x

Solving
-30 + 36x = 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 + 36x + -8x = 6 + 8x + -8x

Combine like terms: 36x + -8x = 28x
-30 + 28x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-30 + 28x = 6 + 0
-30 + 28x = 6

Add '30' to each side of the equation.
-30 + 30 + 28x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 28x = 6 + 30
28x = 6 + 30

Combine like terms: 6 + 30 = 36
28x = 36

Divide each side by '28'.
x = 1.285714286

Simplifying
x = 1.285714286

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