(x-10)+(x+2)=90

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Solution for (x-10)+(x+2)=90 equation:


Simplifying
(x + -10) + (x + 2) = 90

Reorder the terms:
(-10 + x) + (x + 2) = 90

Remove parenthesis around (-10 + x)
-10 + x + (x + 2) = 90

Reorder the terms:
-10 + x + (2 + x) = 90

Remove parenthesis around (2 + x)
-10 + x + 2 + x = 90

Reorder the terms:
-10 + 2 + x + x = 90

Combine like terms: -10 + 2 = -8
-8 + x + x = 90

Combine like terms: x + x = 2x
-8 + 2x = 90

Solving
-8 + 2x = 90

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 90 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 90 + 8
2x = 90 + 8

Combine like terms: 90 + 8 = 98
2x = 98

Divide each side by '2'.
x = 49

Simplifying
x = 49

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