7(2x+1)-6(x-5)=2x-12

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Solution for 7(2x+1)-6(x-5)=2x-12 equation:


Simplifying
7(2x + 1) + -6(x + -5) = 2x + -12

Reorder the terms:
7(1 + 2x) + -6(x + -5) = 2x + -12
(1 * 7 + 2x * 7) + -6(x + -5) = 2x + -12
(7 + 14x) + -6(x + -5) = 2x + -12

Reorder the terms:
7 + 14x + -6(-5 + x) = 2x + -12
7 + 14x + (-5 * -6 + x * -6) = 2x + -12
7 + 14x + (30 + -6x) = 2x + -12

Reorder the terms:
7 + 30 + 14x + -6x = 2x + -12

Combine like terms: 7 + 30 = 37
37 + 14x + -6x = 2x + -12

Combine like terms: 14x + -6x = 8x
37 + 8x = 2x + -12

Reorder the terms:
37 + 8x = -12 + 2x

Solving
37 + 8x = -12 + 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.
37 + 8x + -2x = -12 + 2x + -2x

Combine like terms: 8x + -2x = 6x
37 + 6x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
37 + 6x = -12 + 0
37 + 6x = -12

Add '-37' to each side of the equation.
37 + -37 + 6x = -12 + -37

Combine like terms: 37 + -37 = 0
0 + 6x = -12 + -37
6x = -12 + -37

Combine like terms: -12 + -37 = -49
6x = -49

Divide each side by '6'.
x = -8.166666667

Simplifying
x = -8.166666667

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