9(x-9)+82=8(x+7)

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Solution for 9(x-9)+82=8(x+7) equation:


Simplifying
9(x + -9) + 82 = 8(x + 7)

Reorder the terms:
9(-9 + x) + 82 = 8(x + 7)
(-9 * 9 + x * 9) + 82 = 8(x + 7)
(-81 + 9x) + 82 = 8(x + 7)

Reorder the terms:
-81 + 82 + 9x = 8(x + 7)

Combine like terms: -81 + 82 = 1
1 + 9x = 8(x + 7)

Reorder the terms:
1 + 9x = 8(7 + x)
1 + 9x = (7 * 8 + x * 8)
1 + 9x = (56 + 8x)

Solving
1 + 9x = 56 + 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.
1 + 9x + -8x = 56 + 8x + -8x

Combine like terms: 9x + -8x = 1x
1 + 1x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + 1x = 56 + 0
1 + 1x = 56

Add '-1' to each side of the equation.
1 + -1 + 1x = 56 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 56 + -1
1x = 56 + -1

Combine like terms: 56 + -1 = 55
1x = 55

Divide each side by '1'.
x = 55

Simplifying
x = 55

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