-2(1-5x)-8(x-4)=1-3x+x-7

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Solution for -2(1-5x)-8(x-4)=1-3x+x-7 equation:


Simplifying
-2(1 + -5x) + -8(x + -4) = 1 + -3x + x + -7
(1 * -2 + -5x * -2) + -8(x + -4) = 1 + -3x + x + -7
(-2 + 10x) + -8(x + -4) = 1 + -3x + x + -7

Reorder the terms:
-2 + 10x + -8(-4 + x) = 1 + -3x + x + -7
-2 + 10x + (-4 * -8 + x * -8) = 1 + -3x + x + -7
-2 + 10x + (32 + -8x) = 1 + -3x + x + -7

Reorder the terms:
-2 + 32 + 10x + -8x = 1 + -3x + x + -7

Combine like terms: -2 + 32 = 30
30 + 10x + -8x = 1 + -3x + x + -7

Combine like terms: 10x + -8x = 2x
30 + 2x = 1 + -3x + x + -7

Reorder the terms:
30 + 2x = 1 + -7 + -3x + x

Combine like terms: 1 + -7 = -6
30 + 2x = -6 + -3x + x

Combine like terms: -3x + x = -2x
30 + 2x = -6 + -2x

Solving
30 + 2x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
30 + 2x + 2x = -6 + -2x + 2x

Combine like terms: 2x + 2x = 4x
30 + 4x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
30 + 4x = -6 + 0
30 + 4x = -6

Add '-30' to each side of the equation.
30 + -30 + 4x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = -6 + -30
4x = -6 + -30

Combine like terms: -6 + -30 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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