3(2x+4)=-2(5-x)

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Solution for 3(2x+4)=-2(5-x) equation:


Simplifying
3(2x + 4) = -2(5 + -1x)

Reorder the terms:
3(4 + 2x) = -2(5 + -1x)
(4 * 3 + 2x * 3) = -2(5 + -1x)
(12 + 6x) = -2(5 + -1x)
12 + 6x = (5 * -2 + -1x * -2)
12 + 6x = (-10 + 2x)

Solving
12 + 6x = -10 + 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.
12 + 6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = -10 + 0
12 + 4x = -10

Add '-12' to each side of the equation.
12 + -12 + 4x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -10 + -12
4x = -10 + -12

Combine like terms: -10 + -12 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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