(3x-10)+(x+40)=180

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Solution for (3x-10)+(x+40)=180 equation:


Simplifying
(3x + -10) + (x + 40) = 180

Reorder the terms:
(-10 + 3x) + (x + 40) = 180

Remove parenthesis around (-10 + 3x)
-10 + 3x + (x + 40) = 180

Reorder the terms:
-10 + 3x + (40 + x) = 180

Remove parenthesis around (40 + x)
-10 + 3x + 40 + x = 180

Reorder the terms:
-10 + 40 + 3x + x = 180

Combine like terms: -10 + 40 = 30
30 + 3x + x = 180

Combine like terms: 3x + x = 4x
30 + 4x = 180

Solving
30 + 4x = 180

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 4x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 180 + -30
4x = 180 + -30

Combine like terms: 180 + -30 = 150
4x = 150

Divide each side by '4'.
x = 37.5

Simplifying
x = 37.5

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