3(5x+6)=-8x

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Solution for 3(5x+6)=-8x equation:


Simplifying
3(5x + 6) = -8x

Reorder the terms:
3(6 + 5x) = -8x
(6 * 3 + 5x * 3) = -8x
(18 + 15x) = -8x

Solving
18 + 15x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
18 + 15x + 8x = -8x + 8x

Combine like terms: 15x + 8x = 23x
18 + 23x = -8x + 8x

Combine like terms: -8x + 8x = 0
18 + 23x = 0

Add '-18' to each side of the equation.
18 + -18 + 23x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 23x = 0 + -18
23x = 0 + -18

Combine like terms: 0 + -18 = -18
23x = -18

Divide each side by '23'.
x = -0.7826086957

Simplifying
x = -0.7826086957

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