(x-4)2=9(8-x)

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Solution for (x-4)2=9(8-x) equation:


Simplifying
(x + -4) * 2 = 9(8 + -1x)

Reorder the terms:
(-4 + x) * 2 = 9(8 + -1x)

Reorder the terms for easier multiplication:
2(-4 + x) = 9(8 + -1x)
(-4 * 2 + x * 2) = 9(8 + -1x)
(-8 + 2x) = 9(8 + -1x)
-8 + 2x = (8 * 9 + -1x * 9)
-8 + 2x = (72 + -9x)

Solving
-8 + 2x = 72 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-8 + 2x + 9x = 72 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-8 + 11x = 72 + -9x + 9x

Combine like terms: -9x + 9x = 0
-8 + 11x = 72 + 0
-8 + 11x = 72

Add '8' to each side of the equation.
-8 + 8 + 11x = 72 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 72 + 8
11x = 72 + 8

Combine like terms: 72 + 8 = 80
11x = 80

Divide each side by '11'.
x = 7.272727273

Simplifying
x = 7.272727273

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