(4x+7)+(5x-10)+(2x+41)=180

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Solution for (4x+7)+(5x-10)+(2x+41)=180 equation:


Simplifying
(4x + 7) + (5x + -10) + (2x + 41) = 180

Reorder the terms:
(7 + 4x) + (5x + -10) + (2x + 41) = 180

Remove parenthesis around (7 + 4x)
7 + 4x + (5x + -10) + (2x + 41) = 180

Reorder the terms:
7 + 4x + (-10 + 5x) + (2x + 41) = 180

Remove parenthesis around (-10 + 5x)
7 + 4x + -10 + 5x + (2x + 41) = 180

Reorder the terms:
7 + 4x + -10 + 5x + (41 + 2x) = 180

Remove parenthesis around (41 + 2x)
7 + 4x + -10 + 5x + 41 + 2x = 180

Reorder the terms:
7 + -10 + 41 + 4x + 5x + 2x = 180

Combine like terms: 7 + -10 = -3
-3 + 41 + 4x + 5x + 2x = 180

Combine like terms: -3 + 41 = 38
38 + 4x + 5x + 2x = 180

Combine like terms: 4x + 5x = 9x
38 + 9x + 2x = 180

Combine like terms: 9x + 2x = 11x
38 + 11x = 180

Solving
38 + 11x = 180

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 11x = 180 + -38

Combine like terms: 38 + -38 = 0
0 + 11x = 180 + -38
11x = 180 + -38

Combine like terms: 180 + -38 = 142
11x = 142

Divide each side by '11'.
x = 12.90909091

Simplifying
x = 12.90909091

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