(2x-10)+(x+30)=110

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Solution for (2x-10)+(x+30)=110 equation:


Simplifying
(2x + -10) + (x + 30) = 110

Reorder the terms:
(-10 + 2x) + (x + 30) = 110

Remove parenthesis around (-10 + 2x)
-10 + 2x + (x + 30) = 110

Reorder the terms:
-10 + 2x + (30 + x) = 110

Remove parenthesis around (30 + x)
-10 + 2x + 30 + x = 110

Reorder the terms:
-10 + 30 + 2x + x = 110

Combine like terms: -10 + 30 = 20
20 + 2x + x = 110

Combine like terms: 2x + x = 3x
20 + 3x = 110

Solving
20 + 3x = 110

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 110 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 110 + -20
3x = 110 + -20

Combine like terms: 110 + -20 = 90
3x = 90

Divide each side by '3'.
x = 30

Simplifying
x = 30

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