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

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


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

Reorder the terms:
8x + -8 + 4(3 + 2x) = -2(x + 3)
8x + -8 + (3 * 4 + 2x * 4) = -2(x + 3)
8x + -8 + (12 + 8x) = -2(x + 3)

Reorder the terms:
-8 + 12 + 8x + 8x = -2(x + 3)

Combine like terms: -8 + 12 = 4
4 + 8x + 8x = -2(x + 3)

Combine like terms: 8x + 8x = 16x
4 + 16x = -2(x + 3)

Reorder the terms:
4 + 16x = -2(3 + x)
4 + 16x = (3 * -2 + x * -2)
4 + 16x = (-6 + -2x)

Solving
4 + 16x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 16x + 2x = -6 + -2x + 2x

Combine like terms: 16x + 2x = 18x
4 + 18x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 18x = -6 + 0
4 + 18x = -6

Add '-4' to each side of the equation.
4 + -4 + 18x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 18x = -6 + -4
18x = -6 + -4

Combine like terms: -6 + -4 = -10
18x = -10

Divide each side by '18'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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