9(x-2)=-2(x-3)

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


Simplifying
9(x + -2) = -2(x + -3)

Reorder the terms:
9(-2 + x) = -2(x + -3)
(-2 * 9 + x * 9) = -2(x + -3)
(-18 + 9x) = -2(x + -3)

Reorder the terms:
-18 + 9x = -2(-3 + x)
-18 + 9x = (-3 * -2 + x * -2)
-18 + 9x = (6 + -2x)

Solving
-18 + 9x = 6 + -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 = 6 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-18 + 11x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 11x = 6 + 0
-18 + 11x = 6

Add '18' to each side of the equation.
-18 + 18 + 11x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 11x = 6 + 18
11x = 6 + 18

Combine like terms: 6 + 18 = 24
11x = 24

Divide each side by '11'.
x = 2.181818182

Simplifying
x = 2.181818182

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