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

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


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

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

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

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

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

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

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

Combine like terms: x + 3x = 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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