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

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


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

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

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

Reorder the terms:
2 + 10x = -81 + -2 + 9x

Combine like terms: -81 + -2 = -83
2 + 10x = -83 + 9x

Solving
2 + 10x = -83 + 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.
2 + 10x + -9x = -83 + 9x + -9x

Combine like terms: 10x + -9x = 1x
2 + 1x = -83 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + 1x = -83 + 0
2 + 1x = -83

Add '-2' to each side of the equation.
2 + -2 + 1x = -83 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -83 + -2
1x = -83 + -2

Combine like terms: -83 + -2 = -85
1x = -85

Divide each side by '1'.
x = -85

Simplifying
x = -85

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