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

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


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

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

Reorder the terms:
6 + 2x = -3(8 + x)
6 + 2x = (8 * -3 + x * -3)
6 + 2x = (-24 + -3x)

Solving
6 + 2x = -24 + -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.
6 + 2x + 3x = -24 + -3x + 3x

Combine like terms: 2x + 3x = 5x
6 + 5x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 5x = -24 + 0
6 + 5x = -24

Add '-6' to each side of the equation.
6 + -6 + 5x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -24 + -6
5x = -24 + -6

Combine like terms: -24 + -6 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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