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

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


Simplifying
7(6 + 5x) = 2(x + -12)
(6 * 7 + 5x * 7) = 2(x + -12)
(42 + 35x) = 2(x + -12)

Reorder the terms:
42 + 35x = 2(-12 + x)
42 + 35x = (-12 * 2 + x * 2)
42 + 35x = (-24 + 2x)

Solving
42 + 35x = -24 + 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.
42 + 35x + -2x = -24 + 2x + -2x

Combine like terms: 35x + -2x = 33x
42 + 33x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 33x = -24 + 0
42 + 33x = -24

Add '-42' to each side of the equation.
42 + -42 + 33x = -24 + -42

Combine like terms: 42 + -42 = 0
0 + 33x = -24 + -42
33x = -24 + -42

Combine like terms: -24 + -42 = -66
33x = -66

Divide each side by '33'.
x = -2

Simplifying
x = -2

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