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

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


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

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

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

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

Solving
2 + 4x = -12 + -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.
2 + 4x + 4x = -12 + -4x + 4x

Combine like terms: 4x + 4x = 8x
2 + 8x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 8x = -12 + 0
2 + 8x = -12

Add '-2' to each side of the equation.
2 + -2 + 8x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -12 + -2
8x = -12 + -2

Combine like terms: -12 + -2 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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