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

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


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

Reorder the terms:
2(8 + x) = -3(x + -3)
(8 * 2 + x * 2) = -3(x + -3)
(16 + 2x) = -3(x + -3)

Reorder the terms:
16 + 2x = -3(-3 + x)
16 + 2x = (-3 * -3 + x * -3)
16 + 2x = (9 + -3x)

Solving
16 + 2x = 9 + -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.
16 + 2x + 3x = 9 + -3x + 3x

Combine like terms: 2x + 3x = 5x
16 + 5x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 5x = 9 + 0
16 + 5x = 9

Add '-16' to each side of the equation.
16 + -16 + 5x = 9 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 9 + -16
5x = 9 + -16

Combine like terms: 9 + -16 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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