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

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


Simplifying
-2(1 + 3x) + -4 = -8(x + -1)
(1 * -2 + 3x * -2) + -4 = -8(x + -1)
(-2 + -6x) + -4 = -8(x + -1)

Reorder the terms:
-2 + -4 + -6x = -8(x + -1)

Combine like terms: -2 + -4 = -6
-6 + -6x = -8(x + -1)

Reorder the terms:
-6 + -6x = -8(-1 + x)
-6 + -6x = (-1 * -8 + x * -8)
-6 + -6x = (8 + -8x)

Solving
-6 + -6x = 8 + -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.
-6 + -6x + 8x = 8 + -8x + 8x

Combine like terms: -6x + 8x = 2x
-6 + 2x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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