5(x+2)=6x-12

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Solution for 5(x+2)=6x-12 equation:


Simplifying
5(x + 2) = 6x + -12

Reorder the terms:
5(2 + x) = 6x + -12
(2 * 5 + x * 5) = 6x + -12
(10 + 5x) = 6x + -12

Reorder the terms:
10 + 5x = -12 + 6x

Solving
10 + 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.
10 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
10 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -1x = -12 + 0
10 + -1x = -12

Add '-10' to each side of the equation.
10 + -10 + -1x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -12 + -10
-1x = -12 + -10

Combine like terms: -12 + -10 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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