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

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Solution for 4(x-3)-9=-3(-6x+6)-5x equation:


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

Reorder the terms:
4(-3 + x) + -9 = -3(-6x + 6) + -5x
(-3 * 4 + x * 4) + -9 = -3(-6x + 6) + -5x
(-12 + 4x) + -9 = -3(-6x + 6) + -5x

Reorder the terms:
-12 + -9 + 4x = -3(-6x + 6) + -5x

Combine like terms: -12 + -9 = -21
-21 + 4x = -3(-6x + 6) + -5x

Reorder the terms:
-21 + 4x = -3(6 + -6x) + -5x
-21 + 4x = (6 * -3 + -6x * -3) + -5x
-21 + 4x = (-18 + 18x) + -5x

Combine like terms: 18x + -5x = 13x
-21 + 4x = -18 + 13x

Solving
-21 + 4x = -18 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-21 + 4x + -13x = -18 + 13x + -13x

Combine like terms: 4x + -13x = -9x
-21 + -9x = -18 + 13x + -13x

Combine like terms: 13x + -13x = 0
-21 + -9x = -18 + 0
-21 + -9x = -18

Add '21' to each side of the equation.
-21 + 21 + -9x = -18 + 21

Combine like terms: -21 + 21 = 0
0 + -9x = -18 + 21
-9x = -18 + 21

Combine like terms: -18 + 21 = 3
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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