9(x-1)+2(x-1)=-7(x-1)+12

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Solution for 9(x-1)+2(x-1)=-7(x-1)+12 equation:


Simplifying
9(x + -1) + 2(x + -1) = -7(x + -1) + 12

Reorder the terms:
9(-1 + x) + 2(x + -1) = -7(x + -1) + 12
(-1 * 9 + x * 9) + 2(x + -1) = -7(x + -1) + 12
(-9 + 9x) + 2(x + -1) = -7(x + -1) + 12

Reorder the terms:
-9 + 9x + 2(-1 + x) = -7(x + -1) + 12
-9 + 9x + (-1 * 2 + x * 2) = -7(x + -1) + 12
-9 + 9x + (-2 + 2x) = -7(x + -1) + 12

Reorder the terms:
-9 + -2 + 9x + 2x = -7(x + -1) + 12

Combine like terms: -9 + -2 = -11
-11 + 9x + 2x = -7(x + -1) + 12

Combine like terms: 9x + 2x = 11x
-11 + 11x = -7(x + -1) + 12

Reorder the terms:
-11 + 11x = -7(-1 + x) + 12
-11 + 11x = (-1 * -7 + x * -7) + 12
-11 + 11x = (7 + -7x) + 12

Reorder the terms:
-11 + 11x = 7 + 12 + -7x

Combine like terms: 7 + 12 = 19
-11 + 11x = 19 + -7x

Solving
-11 + 11x = 19 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-11 + 11x + 7x = 19 + -7x + 7x

Combine like terms: 11x + 7x = 18x
-11 + 18x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
-11 + 18x = 19 + 0
-11 + 18x = 19

Add '11' to each side of the equation.
-11 + 11 + 18x = 19 + 11

Combine like terms: -11 + 11 = 0
0 + 18x = 19 + 11
18x = 19 + 11

Combine like terms: 19 + 11 = 30
18x = 30

Divide each side by '18'.
x = 1.666666667

Simplifying
x = 1.666666667

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