-5(3x-1)+10=-9(1+2x)

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Solution for -5(3x-1)+10=-9(1+2x) equation:


Simplifying
-5(3x + -1) + 10 = -9(1 + 2x)

Reorder the terms:
-5(-1 + 3x) + 10 = -9(1 + 2x)
(-1 * -5 + 3x * -5) + 10 = -9(1 + 2x)
(5 + -15x) + 10 = -9(1 + 2x)

Reorder the terms:
5 + 10 + -15x = -9(1 + 2x)

Combine like terms: 5 + 10 = 15
15 + -15x = -9(1 + 2x)
15 + -15x = (1 * -9 + 2x * -9)
15 + -15x = (-9 + -18x)

Solving
15 + -15x = -9 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
15 + -15x + 18x = -9 + -18x + 18x

Combine like terms: -15x + 18x = 3x
15 + 3x = -9 + -18x + 18x

Combine like terms: -18x + 18x = 0
15 + 3x = -9 + 0
15 + 3x = -9

Add '-15' to each side of the equation.
15 + -15 + 3x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -9 + -15
3x = -9 + -15

Combine like terms: -9 + -15 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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