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

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


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

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

Reorder the terms:
12 + -9x = -6 + -5x

Solving
12 + -9x = -6 + -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.
12 + -9x + 5x = -6 + -5x + 5x

Combine like terms: -9x + 5x = -4x
12 + -4x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + -4x = -6 + 0
12 + -4x = -6

Add '-12' to each side of the equation.
12 + -12 + -4x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -6 + -12
-4x = -6 + -12

Combine like terms: -6 + -12 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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