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

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Solution for 2(x-4)-10=-2(-1+4x) equation:


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

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

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

Combine like terms: -8 + -10 = -18
-18 + 2x = -2(-1 + 4x)
-18 + 2x = (-1 * -2 + 4x * -2)
-18 + 2x = (2 + -8x)

Solving
-18 + 2x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-18 + 2x + 8x = 2 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-18 + 10x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 10x = 2 + 0
-18 + 10x = 2

Add '18' to each side of the equation.
-18 + 18 + 10x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 2 + 18
10x = 2 + 18

Combine like terms: 2 + 18 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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