8(8-x)-8(x+4)=-3x-1-10x

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Solution for 8(8-x)-8(x+4)=-3x-1-10x equation:


Simplifying
8(8 + -1x) + -8(x + 4) = -3x + -1 + -10x
(8 * 8 + -1x * 8) + -8(x + 4) = -3x + -1 + -10x
(64 + -8x) + -8(x + 4) = -3x + -1 + -10x

Reorder the terms:
64 + -8x + -8(4 + x) = -3x + -1 + -10x
64 + -8x + (4 * -8 + x * -8) = -3x + -1 + -10x
64 + -8x + (-32 + -8x) = -3x + -1 + -10x

Reorder the terms:
64 + -32 + -8x + -8x = -3x + -1 + -10x

Combine like terms: 64 + -32 = 32
32 + -8x + -8x = -3x + -1 + -10x

Combine like terms: -8x + -8x = -16x
32 + -16x = -3x + -1 + -10x

Reorder the terms:
32 + -16x = -1 + -3x + -10x

Combine like terms: -3x + -10x = -13x
32 + -16x = -1 + -13x

Solving
32 + -16x = -1 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
32 + -16x + 13x = -1 + -13x + 13x

Combine like terms: -16x + 13x = -3x
32 + -3x = -1 + -13x + 13x

Combine like terms: -13x + 13x = 0
32 + -3x = -1 + 0
32 + -3x = -1

Add '-32' to each side of the equation.
32 + -32 + -3x = -1 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -1 + -32
-3x = -1 + -32

Combine like terms: -1 + -32 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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