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

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


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

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

Reorder the terms:
-12 + 9x = -5(6 + x) + -4x
-12 + 9x = (6 * -5 + x * -5) + -4x
-12 + 9x = (-30 + -5x) + -4x

Combine like terms: -5x + -4x = -9x
-12 + 9x = -30 + -9x

Solving
-12 + 9x = -30 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 9x + 9x = -30 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-12 + 18x = -30 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 18x = -30 + 0
-12 + 18x = -30

Add '12' to each side of the equation.
-12 + 12 + 18x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = -30 + 12
18x = -30 + 12

Combine like terms: -30 + 12 = -18
18x = -18

Divide each side by '18'.
x = -1

Simplifying
x = -1

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