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

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


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

Reorder the terms:
3(5 + x) = -2(3x + 8)
(5 * 3 + x * 3) = -2(3x + 8)
(15 + 3x) = -2(3x + 8)

Reorder the terms:
15 + 3x = -2(8 + 3x)
15 + 3x = (8 * -2 + 3x * -2)
15 + 3x = (-16 + -6x)

Solving
15 + 3x = -16 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
15 + 3x + 6x = -16 + -6x + 6x

Combine like terms: 3x + 6x = 9x
15 + 9x = -16 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 9x = -16 + 0
15 + 9x = -16

Add '-15' to each side of the equation.
15 + -15 + 9x = -16 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = -16 + -15
9x = -16 + -15

Combine like terms: -16 + -15 = -31
9x = -31

Divide each side by '9'.
x = -3.444444444

Simplifying
x = -3.444444444

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