40+x=-7(8-5x)-6

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Solution for 40+x=-7(8-5x)-6 equation:


Simplifying
40 + x = -7(8 + -5x) + -6
40 + x = (8 * -7 + -5x * -7) + -6
40 + x = (-56 + 35x) + -6

Reorder the terms:
40 + x = -56 + -6 + 35x

Combine like terms: -56 + -6 = -62
40 + x = -62 + 35x

Solving
40 + x = -62 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
40 + x + -35x = -62 + 35x + -35x

Combine like terms: x + -35x = -34x
40 + -34x = -62 + 35x + -35x

Combine like terms: 35x + -35x = 0
40 + -34x = -62 + 0
40 + -34x = -62

Add '-40' to each side of the equation.
40 + -40 + -34x = -62 + -40

Combine like terms: 40 + -40 = 0
0 + -34x = -62 + -40
-34x = -62 + -40

Combine like terms: -62 + -40 = -102
-34x = -102

Divide each side by '-34'.
x = 3

Simplifying
x = 3

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