12(3x+3)-6(2x-2)=14x-12

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Solution for 12(3x+3)-6(2x-2)=14x-12 equation:


Simplifying
12(3x + 3) + -6(2x + -2) = 14x + -12

Reorder the terms:
12(3 + 3x) + -6(2x + -2) = 14x + -12
(3 * 12 + 3x * 12) + -6(2x + -2) = 14x + -12
(36 + 36x) + -6(2x + -2) = 14x + -12

Reorder the terms:
36 + 36x + -6(-2 + 2x) = 14x + -12
36 + 36x + (-2 * -6 + 2x * -6) = 14x + -12
36 + 36x + (12 + -12x) = 14x + -12

Reorder the terms:
36 + 12 + 36x + -12x = 14x + -12

Combine like terms: 36 + 12 = 48
48 + 36x + -12x = 14x + -12

Combine like terms: 36x + -12x = 24x
48 + 24x = 14x + -12

Reorder the terms:
48 + 24x = -12 + 14x

Solving
48 + 24x = -12 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
48 + 24x + -14x = -12 + 14x + -14x

Combine like terms: 24x + -14x = 10x
48 + 10x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
48 + 10x = -12 + 0
48 + 10x = -12

Add '-48' to each side of the equation.
48 + -48 + 10x = -12 + -48

Combine like terms: 48 + -48 = 0
0 + 10x = -12 + -48
10x = -12 + -48

Combine like terms: -12 + -48 = -60
10x = -60

Divide each side by '10'.
x = -6

Simplifying
x = -6

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