9(x-2)=5(2-x)

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Solution for 9(x-2)=5(2-x) equation:


Simplifying
9(x + -2) = 5(2 + -1x)

Reorder the terms:
9(-2 + x) = 5(2 + -1x)
(-2 * 9 + x * 9) = 5(2 + -1x)
(-18 + 9x) = 5(2 + -1x)
-18 + 9x = (2 * 5 + -1x * 5)
-18 + 9x = (10 + -5x)

Solving
-18 + 9x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-18 + 9x + 5x = 10 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-18 + 14x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 14x = 10 + 0
-18 + 14x = 10

Add '18' to each side of the equation.
-18 + 18 + 14x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 14x = 10 + 18
14x = 10 + 18

Combine like terms: 10 + 18 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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