5(x-1)=6x-12

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Solution for 5(x-1)=6x-12 equation:


Simplifying
5(x + -1) = 6x + -12

Reorder the terms:
5(-1 + x) = 6x + -12
(-1 * 5 + x * 5) = 6x + -12
(-5 + 5x) = 6x + -12

Reorder the terms:
-5 + 5x = -12 + 6x

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

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-5 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -1x = -12 + 0
-5 + -1x = -12

Add '5' to each side of the equation.
-5 + 5 + -1x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -12 + 5
-1x = -12 + 5

Combine like terms: -12 + 5 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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