-2x-(-3x+4)=(x-8)-2(8x-4)

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


Simplifying
-2x + -1(-3x + 4) = (x + -8) + -2(8x + -4)

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

Reorder the terms:
-4 + -2x + 3x = (x + -8) + -2(8x + -4)

Combine like terms: -2x + 3x = 1x
-4 + 1x = (x + -8) + -2(8x + -4)

Reorder the terms:
-4 + 1x = (-8 + x) + -2(8x + -4)

Remove parenthesis around (-8 + x)
-4 + 1x = -8 + x + -2(8x + -4)

Reorder the terms:
-4 + 1x = -8 + x + -2(-4 + 8x)
-4 + 1x = -8 + x + (-4 * -2 + 8x * -2)
-4 + 1x = -8 + x + (8 + -16x)

Reorder the terms:
-4 + 1x = -8 + 8 + x + -16x

Combine like terms: -8 + 8 = 0
-4 + 1x = 0 + x + -16x
-4 + 1x = x + -16x

Combine like terms: x + -16x = -15x
-4 + 1x = -15x

Solving
-4 + 1x = -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-4 + 1x + 15x = -15x + 15x

Combine like terms: 1x + 15x = 16x
-4 + 16x = -15x + 15x

Combine like terms: -15x + 15x = 0
-4 + 16x = 0

Add '4' to each side of the equation.
-4 + 4 + 16x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 0 + 4
16x = 0 + 4

Combine like terms: 0 + 4 = 4
16x = 4

Divide each side by '16'.
x = 0.25

Simplifying
x = 0.25

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