-2(x-1)+8=10-4(x+3)

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Solution for -2(x-1)+8=10-4(x+3) equation: 


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

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

Reorder the terms:
2 + 8 + -2x = 10 + -4(x + 3)

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

Reorder the terms:
10 + -2x = 10 + -4(3 + x)
10 + -2x = 10 + (3 * -4 + x * -4)
10 + -2x = 10 + (-12 + -4x)

Combine like terms: 10 + -12 = -2
10 + -2x = -2 + -4x

Solving
10 + -2x = -2 + -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.
10 + -2x + 4x = -2 + -4x + 4x

Combine like terms: -2x + 4x = 2x
10 + 2x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 2x = -2 + 0
10 + 2x = -2

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

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

Combine like terms: -2 + -10 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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