(x-10)+(2x+34)=90

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Solution for (x-10)+(2x+34)=90 equation:


Simplifying
(x + -10) + (2x + 34) = 90

Reorder the terms:
(-10 + x) + (2x + 34) = 90

Remove parenthesis around (-10 + x)
-10 + x + (2x + 34) = 90

Reorder the terms:
-10 + x + (34 + 2x) = 90

Remove parenthesis around (34 + 2x)
-10 + x + 34 + 2x = 90

Reorder the terms:
-10 + 34 + x + 2x = 90

Combine like terms: -10 + 34 = 24
24 + x + 2x = 90

Combine like terms: x + 2x = 3x
24 + 3x = 90

Solving
24 + 3x = 90

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 3x = 90 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 90 + -24
3x = 90 + -24

Combine like terms: 90 + -24 = 66
3x = 66

Divide each side by '3'.
x = 22

Simplifying
x = 22

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