37-8x=3x-7(6x+8)

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Solution for 37-8x=3x-7(6x+8) equation: 


Simplifying
37 + -8x = 3x + -7(6x + 8)

Reorder the terms:
37 + -8x = 3x + -7(8 + 6x)
37 + -8x = 3x + (8 * -7 + 6x * -7)
37 + -8x = 3x + (-56 + -42x)

Reorder the terms:
37 + -8x = -56 + 3x + -42x

Combine like terms: 3x + -42x = -39x
37 + -8x = -56 + -39x

Solving
37 + -8x = -56 + -39x

Solving for variable 'x'.

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

Add '39x' to each side of the equation.
37 + -8x + 39x = -56 + -39x + 39x

Combine like terms: -8x + 39x = 31x
37 + 31x = -56 + -39x + 39x

Combine like terms: -39x + 39x = 0
37 + 31x = -56 + 0
37 + 31x = -56

Add '-37' to each side of the equation.
37 + -37 + 31x = -56 + -37

Combine like terms: 37 + -37 = 0
0 + 31x = -56 + -37
31x = -56 + -37

Combine like terms: -56 + -37 = -93
31x = -93

Divide each side by '31'.
x = -3

Simplifying
x = -3

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