-2(x-4)-x=-(4x-10)

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


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

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

Combine like terms: -2x + -1x = -3x
8 + -3x = -1(4x + -10)

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

Solving
8 + -3x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -3x + 4x = 10 + -4x + 4x

Combine like terms: -3x + 4x = 1x
8 + 1x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 1x = 10 + 0
8 + 1x = 10

Add '-8' to each side of the equation.
8 + -8 + 1x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 10 + -8
1x = 10 + -8

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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