(2x+35)+(4x-10)+(3x-7)=180

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Solution for (2x+35)+(4x-10)+(3x-7)=180 equation:


Simplifying
(2x + 35) + (4x + -10) + (3x + -7) = 180

Reorder the terms:
(35 + 2x) + (4x + -10) + (3x + -7) = 180

Remove parenthesis around (35 + 2x)
35 + 2x + (4x + -10) + (3x + -7) = 180

Reorder the terms:
35 + 2x + (-10 + 4x) + (3x + -7) = 180

Remove parenthesis around (-10 + 4x)
35 + 2x + -10 + 4x + (3x + -7) = 180

Reorder the terms:
35 + 2x + -10 + 4x + (-7 + 3x) = 180

Remove parenthesis around (-7 + 3x)
35 + 2x + -10 + 4x + -7 + 3x = 180

Reorder the terms:
35 + -10 + -7 + 2x + 4x + 3x = 180

Combine like terms: 35 + -10 = 25
25 + -7 + 2x + 4x + 3x = 180

Combine like terms: 25 + -7 = 18
18 + 2x + 4x + 3x = 180

Combine like terms: 2x + 4x = 6x
18 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
18 + 9x = 180

Solving
18 + 9x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 9x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 180 + -18
9x = 180 + -18

Combine like terms: 180 + -18 = 162
9x = 162

Divide each side by '9'.
x = 18

Simplifying
x = 18

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