9(x-9)-2x=8(x-10)

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Solution for 9(x-9)-2x=8(x-10) equation:


Simplifying
9(x + -9) + -2x = 8(x + -10)

Reorder the terms:
9(-9 + x) + -2x = 8(x + -10)
(-9 * 9 + x * 9) + -2x = 8(x + -10)
(-81 + 9x) + -2x = 8(x + -10)

Combine like terms: 9x + -2x = 7x
-81 + 7x = 8(x + -10)

Reorder the terms:
-81 + 7x = 8(-10 + x)
-81 + 7x = (-10 * 8 + x * 8)
-81 + 7x = (-80 + 8x)

Solving
-81 + 7x = -80 + 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.
-81 + 7x + -8x = -80 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-81 + -1x = -80 + 8x + -8x

Combine like terms: 8x + -8x = 0
-81 + -1x = -80 + 0
-81 + -1x = -80

Add '81' to each side of the equation.
-81 + 81 + -1x = -80 + 81

Combine like terms: -81 + 81 = 0
0 + -1x = -80 + 81
-1x = -80 + 81

Combine like terms: -80 + 81 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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