(2x-5)+(x+40)+(3x-10)=180

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Solution for (2x-5)+(x+40)+(3x-10)=180 equation:


Simplifying
(2x + -5) + (x + 40) + (3x + -10) = 180

Reorder the terms:
(-5 + 2x) + (x + 40) + (3x + -10) = 180

Remove parenthesis around (-5 + 2x)
-5 + 2x + (x + 40) + (3x + -10) = 180

Reorder the terms:
-5 + 2x + (40 + x) + (3x + -10) = 180

Remove parenthesis around (40 + x)
-5 + 2x + 40 + x + (3x + -10) = 180

Reorder the terms:
-5 + 2x + 40 + x + (-10 + 3x) = 180

Remove parenthesis around (-10 + 3x)
-5 + 2x + 40 + x + -10 + 3x = 180

Reorder the terms:
-5 + 40 + -10 + 2x + x + 3x = 180

Combine like terms: -5 + 40 = 35
35 + -10 + 2x + x + 3x = 180

Combine like terms: 35 + -10 = 25
25 + 2x + x + 3x = 180

Combine like terms: 2x + x = 3x
25 + 3x + 3x = 180

Combine like terms: 3x + 3x = 6x
25 + 6x = 180

Solving
25 + 6x = 180

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 6x = 180 + -25

Combine like terms: 25 + -25 = 0
0 + 6x = 180 + -25
6x = 180 + -25

Combine like terms: 180 + -25 = 155
6x = 155

Divide each side by '6'.
x = 25.83333333

Simplifying
x = 25.83333333

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