12(10X+10)-X=9(7X-9)+12

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Solution for 12(10X+10)-X=9(7X-9)+12 equation:


Simplifying
12(10X + 10) + -1X = 9(7X + -9) + 12

Reorder the terms:
12(10 + 10X) + -1X = 9(7X + -9) + 12
(10 * 12 + 10X * 12) + -1X = 9(7X + -9) + 12
(120 + 120X) + -1X = 9(7X + -9) + 12

Combine like terms: 120X + -1X = 119X
120 + 119X = 9(7X + -9) + 12

Reorder the terms:
120 + 119X = 9(-9 + 7X) + 12
120 + 119X = (-9 * 9 + 7X * 9) + 12
120 + 119X = (-81 + 63X) + 12

Reorder the terms:
120 + 119X = -81 + 12 + 63X

Combine like terms: -81 + 12 = -69
120 + 119X = -69 + 63X

Solving
120 + 119X = -69 + 63X

Solving for variable 'X'.

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

Add '-63X' to each side of the equation.
120 + 119X + -63X = -69 + 63X + -63X

Combine like terms: 119X + -63X = 56X
120 + 56X = -69 + 63X + -63X

Combine like terms: 63X + -63X = 0
120 + 56X = -69 + 0
120 + 56X = -69

Add '-120' to each side of the equation.
120 + -120 + 56X = -69 + -120

Combine like terms: 120 + -120 = 0
0 + 56X = -69 + -120
56X = -69 + -120

Combine like terms: -69 + -120 = -189
56X = -189

Divide each side by '56'.
X = -3.375

Simplifying
X = -3.375

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