9(3x-2)-10x=12x-7

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Solution for 9(3x-2)-10x=12x-7 equation:


Simplifying
9(3x + -2) + -10x = 12x + -7

Reorder the terms:
9(-2 + 3x) + -10x = 12x + -7
(-2 * 9 + 3x * 9) + -10x = 12x + -7
(-18 + 27x) + -10x = 12x + -7

Combine like terms: 27x + -10x = 17x
-18 + 17x = 12x + -7

Reorder the terms:
-18 + 17x = -7 + 12x

Solving
-18 + 17x = -7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-18 + 17x + -12x = -7 + 12x + -12x

Combine like terms: 17x + -12x = 5x
-18 + 5x = -7 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + 5x = -7 + 0
-18 + 5x = -7

Add '18' to each side of the equation.
-18 + 18 + 5x = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -7 + 18
5x = -7 + 18

Combine like terms: -7 + 18 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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