-6(-5x+3)-7x=5(x-3)-9

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Solution for -6(-5x+3)-7x=5(x-3)-9 equation:


Simplifying
-6(-5x + 3) + -7x = 5(x + -3) + -9

Reorder the terms:
-6(3 + -5x) + -7x = 5(x + -3) + -9
(3 * -6 + -5x * -6) + -7x = 5(x + -3) + -9
(-18 + 30x) + -7x = 5(x + -3) + -9

Combine like terms: 30x + -7x = 23x
-18 + 23x = 5(x + -3) + -9

Reorder the terms:
-18 + 23x = 5(-3 + x) + -9
-18 + 23x = (-3 * 5 + x * 5) + -9
-18 + 23x = (-15 + 5x) + -9

Reorder the terms:
-18 + 23x = -15 + -9 + 5x

Combine like terms: -15 + -9 = -24
-18 + 23x = -24 + 5x

Solving
-18 + 23x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 23x + -5x = -24 + 5x + -5x

Combine like terms: 23x + -5x = 18x
-18 + 18x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 18x = -24 + 0
-18 + 18x = -24

Add '18' to each side of the equation.
-18 + 18 + 18x = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 18x = -24 + 18
18x = -24 + 18

Combine like terms: -24 + 18 = -6
18x = -6

Divide each side by '18'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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