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

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


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

Reorder the terms:
2(3 + x) + -8 = -4(2x + -4)
(3 * 2 + x * 2) + -8 = -4(2x + -4)
(6 + 2x) + -8 = -4(2x + -4)

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

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

Reorder the terms:
-2 + 2x = -4(-4 + 2x)
-2 + 2x = (-4 * -4 + 2x * -4)
-2 + 2x = (16 + -8x)

Solving
-2 + 2x = 16 + -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.
-2 + 2x + 8x = 16 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-2 + 10x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 10x = 16 + 0
-2 + 10x = 16

Add '2' to each side of the equation.
-2 + 2 + 10x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 16 + 2
10x = 16 + 2

Combine like terms: 16 + 2 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8

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