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

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


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

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

Reorder the terms:
-18 + -7x + 9x = 5x + -9

Combine like terms: -7x + 9x = 2x
-18 + 2x = 5x + -9

Reorder the terms:
-18 + 2x = -9 + 5x

Solving
-18 + 2x = -9 + 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 + 2x + -5x = -9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-18 + -3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -3x = -9 + 0
-18 + -3x = -9

Add '18' to each side of the equation.
-18 + 18 + -3x = -9 + 18

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

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

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

Simplifying
x = -3

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