7(2x-8)-3(x+2)=12x+7

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Solution for 7(2x-8)-3(x+2)=12x+7 equation:


Simplifying
7(2x + -8) + -3(x + 2) = 12x + 7

Reorder the terms:
7(-8 + 2x) + -3(x + 2) = 12x + 7
(-8 * 7 + 2x * 7) + -3(x + 2) = 12x + 7
(-56 + 14x) + -3(x + 2) = 12x + 7

Reorder the terms:
-56 + 14x + -3(2 + x) = 12x + 7
-56 + 14x + (2 * -3 + x * -3) = 12x + 7
-56 + 14x + (-6 + -3x) = 12x + 7

Reorder the terms:
-56 + -6 + 14x + -3x = 12x + 7

Combine like terms: -56 + -6 = -62
-62 + 14x + -3x = 12x + 7

Combine like terms: 14x + -3x = 11x
-62 + 11x = 12x + 7

Reorder the terms:
-62 + 11x = 7 + 12x

Solving
-62 + 11x = 7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-62 + 11x + -12x = 7 + 12x + -12x

Combine like terms: 11x + -12x = -1x
-62 + -1x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
-62 + -1x = 7 + 0
-62 + -1x = 7

Add '62' to each side of the equation.
-62 + 62 + -1x = 7 + 62

Combine like terms: -62 + 62 = 0
0 + -1x = 7 + 62
-1x = 7 + 62

Combine like terms: 7 + 62 = 69
-1x = 69

Divide each side by '-1'.
x = -69

Simplifying
x = -69

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