3(x-9)=2(8-x)

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Solution for 3(x-9)=2(8-x) equation:


Simplifying
3(x + -9) = 2(8 + -1x)

Reorder the terms:
3(-9 + x) = 2(8 + -1x)
(-9 * 3 + x * 3) = 2(8 + -1x)
(-27 + 3x) = 2(8 + -1x)
-27 + 3x = (8 * 2 + -1x * 2)
-27 + 3x = (16 + -2x)

Solving
-27 + 3x = 16 + -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.
-27 + 3x + 2x = 16 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-27 + 5x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-27 + 5x = 16 + 0
-27 + 5x = 16

Add '27' to each side of the equation.
-27 + 27 + 5x = 16 + 27

Combine like terms: -27 + 27 = 0
0 + 5x = 16 + 27
5x = 16 + 27

Combine like terms: 16 + 27 = 43
5x = 43

Divide each side by '5'.
x = 8.6

Simplifying
x = 8.6

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