9(x-2)=-2x-7

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


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

Reorder the terms:
9(-2 + x) = -2x + -7
(-2 * 9 + x * 9) = -2x + -7
(-18 + 9x) = -2x + -7

Reorder the terms:
-18 + 9x = -7 + -2x

Solving
-18 + 9x = -7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 9x + 2x = -7 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-18 + 11x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 11x = -7 + 0
-18 + 11x = -7

Add '18' to each side of the equation.
-18 + 18 + 11x = -7 + 18

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

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

Divide each side by '11'.
x = 1

Simplifying
x = 1

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