3(x+2)=-2(x+5)+3x+8

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Solution for 3(x+2)=-2(x+5)+3x+8 equation: 


Simplifying
3(x + 2) = -2(x + 5) + 3x + 8

Reorder the terms:
3(2 + x) = -2(x + 5) + 3x + 8
(2 * 3 + x * 3) = -2(x + 5) + 3x + 8
(6 + 3x) = -2(x + 5) + 3x + 8

Reorder the terms:
6 + 3x = -2(5 + x) + 3x + 8
6 + 3x = (5 * -2 + x * -2) + 3x + 8
6 + 3x = (-10 + -2x) + 3x + 8

Reorder the terms:
6 + 3x = -10 + 8 + -2x + 3x

Combine like terms: -10 + 8 = -2
6 + 3x = -2 + -2x + 3x

Combine like terms: -2x + 3x = 1x
6 + 3x = -2 + 1x

Solving
6 + 3x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 3x + -1x = -2 + 1x + -1x

Combine like terms: 3x + -1x = 2x
6 + 2x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 2x = -2 + 0
6 + 2x = -2

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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