5x-6=2(x+6)

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


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

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

Reorder the terms:
-6 + 5x = 2(6 + x)
-6 + 5x = (6 * 2 + x * 2)
-6 + 5x = (12 + 2x)

Solving
-6 + 5x = 12 + 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.
-6 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 3x = 12 + 0
-6 + 3x = 12

Add '6' to each side of the equation.
-6 + 6 + 3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6
3x = 12 + 6

Combine like terms: 12 + 6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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