8(x+8)=82-(x-9)

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Solution for 8(x+8)=82-(x-9) equation:


Simplifying
8(x + 8) = 82 + -1(x + -9)

Reorder the terms:
8(8 + x) = 82 + -1(x + -9)
(8 * 8 + x * 8) = 82 + -1(x + -9)
(64 + 8x) = 82 + -1(x + -9)

Reorder the terms:
64 + 8x = 82 + -1(-9 + x)
64 + 8x = 82 + (-9 * -1 + x * -1)
64 + 8x = 82 + (9 + -1x)

Combine like terms: 82 + 9 = 91
64 + 8x = 91 + -1x

Solving
64 + 8x = 91 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
64 + 8x + x = 91 + -1x + x

Combine like terms: 8x + x = 9x
64 + 9x = 91 + -1x + x

Combine like terms: -1x + x = 0
64 + 9x = 91 + 0
64 + 9x = 91

Add '-64' to each side of the equation.
64 + -64 + 9x = 91 + -64

Combine like terms: 64 + -64 = 0
0 + 9x = 91 + -64
9x = 91 + -64

Combine like terms: 91 + -64 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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