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

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


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

Reorder the terms:
9(-2 + x) = 8(3 + -1x)
(-2 * 9 + x * 9) = 8(3 + -1x)
(-18 + 9x) = 8(3 + -1x)
-18 + 9x = (3 * 8 + -1x * 8)
-18 + 9x = (24 + -8x)

Solving
-18 + 9x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-18 + 9x + 8x = 24 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-18 + 17x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 17x = 24 + 0
-18 + 17x = 24

Add '18' to each side of the equation.
-18 + 18 + 17x = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 17x = 24 + 18
17x = 24 + 18

Combine like terms: 24 + 18 = 42
17x = 42

Divide each side by '17'.
x = 2.470588235

Simplifying
x = 2.470588235

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