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

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


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

Reorder the terms:
3(5 + 3x) = -2x + -8
(5 * 3 + 3x * 3) = -2x + -8
(15 + 9x) = -2x + -8

Reorder the terms:
15 + 9x = -8 + -2x

Solving
15 + 9x = -8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + 9x + 2x = -8 + -2x + 2x

Combine like terms: 9x + 2x = 11x
15 + 11x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 11x = -8 + 0
15 + 11x = -8

Add '-15' to each side of the equation.
15 + -15 + 11x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + 11x = -8 + -15
11x = -8 + -15

Combine like terms: -8 + -15 = -23
11x = -23

Divide each side by '11'.
x = -2.090909091

Simplifying
x = -2.090909091

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