5(x-6)=x+6

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


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

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

Reorder the terms:
-30 + 5x = 6 + x

Solving
-30 + 5x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
-30 + 4x = 6 + x + -1x

Combine like terms: x + -1x = 0
-30 + 4x = 6 + 0
-30 + 4x = 6

Add '30' to each side of the equation.
-30 + 30 + 4x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 6 + 30
4x = 6 + 30

Combine like terms: 6 + 30 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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