40-2x=-8(7+6x)+4

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Solution for 40-2x=-8(7+6x)+4 equation:


Simplifying
40 + -2x = -8(7 + 6x) + 4
40 + -2x = (7 * -8 + 6x * -8) + 4
40 + -2x = (-56 + -48x) + 4

Reorder the terms:
40 + -2x = -56 + 4 + -48x

Combine like terms: -56 + 4 = -52
40 + -2x = -52 + -48x

Solving
40 + -2x = -52 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
40 + -2x + 48x = -52 + -48x + 48x

Combine like terms: -2x + 48x = 46x
40 + 46x = -52 + -48x + 48x

Combine like terms: -48x + 48x = 0
40 + 46x = -52 + 0
40 + 46x = -52

Add '-40' to each side of the equation.
40 + -40 + 46x = -52 + -40

Combine like terms: 40 + -40 = 0
0 + 46x = -52 + -40
46x = -52 + -40

Combine like terms: -52 + -40 = -92
46x = -92

Divide each side by '46'.
x = -2

Simplifying
x = -2

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