5(x-6)-6=2(x-1)+2

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Solution for 5(x-6)-6=2(x-1)+2 equation:


Simplifying
5(x + -6) + -6 = 2(x + -1) + 2

Reorder the terms:
5(-6 + x) + -6 = 2(x + -1) + 2
(-6 * 5 + x * 5) + -6 = 2(x + -1) + 2
(-30 + 5x) + -6 = 2(x + -1) + 2

Reorder the terms:
-30 + -6 + 5x = 2(x + -1) + 2

Combine like terms: -30 + -6 = -36
-36 + 5x = 2(x + -1) + 2

Reorder the terms:
-36 + 5x = 2(-1 + x) + 2
-36 + 5x = (-1 * 2 + x * 2) + 2
-36 + 5x = (-2 + 2x) + 2

Reorder the terms:
-36 + 5x = -2 + 2 + 2x

Combine like terms: -2 + 2 = 0
-36 + 5x = 0 + 2x
-36 + 5x = 2x

Solving
-36 + 5x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-36 + 5x + -2x = 2x + -2x

Combine like terms: 5x + -2x = 3x
-36 + 3x = 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 3x = 0

Add '36' to each side of the equation.
-36 + 36 + 3x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = 0 + 36
3x = 0 + 36

Combine like terms: 0 + 36 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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