12(3x+4)-7(2x-3)=2x-11

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Solution for 12(3x+4)-7(2x-3)=2x-11 equation:


Simplifying
12(3x + 4) + -7(2x + -3) = 2x + -11

Reorder the terms:
12(4 + 3x) + -7(2x + -3) = 2x + -11
(4 * 12 + 3x * 12) + -7(2x + -3) = 2x + -11
(48 + 36x) + -7(2x + -3) = 2x + -11

Reorder the terms:
48 + 36x + -7(-3 + 2x) = 2x + -11
48 + 36x + (-3 * -7 + 2x * -7) = 2x + -11
48 + 36x + (21 + -14x) = 2x + -11

Reorder the terms:
48 + 21 + 36x + -14x = 2x + -11

Combine like terms: 48 + 21 = 69
69 + 36x + -14x = 2x + -11

Combine like terms: 36x + -14x = 22x
69 + 22x = 2x + -11

Reorder the terms:
69 + 22x = -11 + 2x

Solving
69 + 22x = -11 + 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.
69 + 22x + -2x = -11 + 2x + -2x

Combine like terms: 22x + -2x = 20x
69 + 20x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
69 + 20x = -11 + 0
69 + 20x = -11

Add '-69' to each side of the equation.
69 + -69 + 20x = -11 + -69

Combine like terms: 69 + -69 = 0
0 + 20x = -11 + -69
20x = -11 + -69

Combine like terms: -11 + -69 = -80
20x = -80

Divide each side by '20'.
x = -4

Simplifying
x = -4

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