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

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


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

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

Reorder the terms:
8 + 2x = -3(-1 + 2x)
8 + 2x = (-1 * -3 + 2x * -3)
8 + 2x = (3 + -6x)

Solving
8 + 2x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + 2x + 6x = 3 + -6x + 6x

Combine like terms: 2x + 6x = 8x
8 + 8x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 8x = 3 + 0
8 + 8x = 3

Add '-8' to each side of the equation.
8 + -8 + 8x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 3 + -8
8x = 3 + -8

Combine like terms: 3 + -8 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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