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

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


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

Reorder the terms:
2(1 + 3x) = -2(x + -4)
(1 * 2 + 3x * 2) = -2(x + -4)
(2 + 6x) = -2(x + -4)

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

Solving
2 + 6x = 8 + -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.
2 + 6x + 2x = 8 + -2x + 2x

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

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

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

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

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

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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