-7(x-8)-(4+2x)=-10x

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Solution for -7(x-8)-(4+2x)=-10x equation:


Simplifying
-7(x + -8) + -1(4 + 2x) = -10x

Reorder the terms:
-7(-8 + x) + -1(4 + 2x) = -10x
(-8 * -7 + x * -7) + -1(4 + 2x) = -10x
(56 + -7x) + -1(4 + 2x) = -10x
56 + -7x + (4 * -1 + 2x * -1) = -10x
56 + -7x + (-4 + -2x) = -10x

Reorder the terms:
56 + -4 + -7x + -2x = -10x

Combine like terms: 56 + -4 = 52
52 + -7x + -2x = -10x

Combine like terms: -7x + -2x = -9x
52 + -9x = -10x

Solving
52 + -9x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
52 + -9x + 10x = -10x + 10x

Combine like terms: -9x + 10x = 1x
52 + 1x = -10x + 10x

Combine like terms: -10x + 10x = 0
52 + 1x = 0

Add '-52' to each side of the equation.
52 + -52 + 1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 1x = 0 + -52
1x = 0 + -52

Combine like terms: 0 + -52 = -52
1x = -52

Divide each side by '1'.
x = -52

Simplifying
x = -52

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