12(3x+4)-7(2x-7)=2x-43

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Solution for 12(3x+4)-7(2x-7)=2x-43 equation:


Simplifying
12(3x + 4) + -7(2x + -7) = 2x + -43

Reorder the terms:
12(4 + 3x) + -7(2x + -7) = 2x + -43
(4 * 12 + 3x * 12) + -7(2x + -7) = 2x + -43
(48 + 36x) + -7(2x + -7) = 2x + -43

Reorder the terms:
48 + 36x + -7(-7 + 2x) = 2x + -43
48 + 36x + (-7 * -7 + 2x * -7) = 2x + -43
48 + 36x + (49 + -14x) = 2x + -43

Reorder the terms:
48 + 49 + 36x + -14x = 2x + -43

Combine like terms: 48 + 49 = 97
97 + 36x + -14x = 2x + -43

Combine like terms: 36x + -14x = 22x
97 + 22x = 2x + -43

Reorder the terms:
97 + 22x = -43 + 2x

Solving
97 + 22x = -43 + 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.
97 + 22x + -2x = -43 + 2x + -2x

Combine like terms: 22x + -2x = 20x
97 + 20x = -43 + 2x + -2x

Combine like terms: 2x + -2x = 0
97 + 20x = -43 + 0
97 + 20x = -43

Add '-97' to each side of the equation.
97 + -97 + 20x = -43 + -97

Combine like terms: 97 + -97 = 0
0 + 20x = -43 + -97
20x = -43 + -97

Combine like terms: -43 + -97 = -140
20x = -140

Divide each side by '20'.
x = -7

Simplifying
x = -7

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