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

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


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

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

Solving
8 + 2x = 3 + -3x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 3x = 5x
8 + 5x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 3 + 0
8 + 5x = 3

Add '-8' to each side of the equation.
8 + -8 + 5x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 3 + -8
5x = 3 + -8

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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