(4x+30)+(5x+18)+(2x)=180

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Solution for (4x+30)+(5x+18)+(2x)=180 equation:


Simplifying
(4x + 30) + (5x + 18) + (2x) = 180

Reorder the terms:
(30 + 4x) + (5x + 18) + (2x) = 180

Remove parenthesis around (30 + 4x)
30 + 4x + (5x + 18) + (2x) = 180

Reorder the terms:
30 + 4x + (18 + 5x) + (2x) = 180

Remove parenthesis around (18 + 5x)
30 + 4x + 18 + 5x + (2x) = 180

Reorder the terms:
30 + 18 + 4x + 5x + (2x) = 180

Combine like terms: 30 + 18 = 48
48 + 4x + 5x + (2x) = 180

Combine like terms: 4x + 5x = 9x
48 + 9x + (2x) = 180

Combine like terms: 9x + (2x) = 11x
48 + 11x = 180

Solving
48 + 11x = 180

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 11x = 180 + -48

Combine like terms: 48 + -48 = 0
0 + 11x = 180 + -48
11x = 180 + -48

Combine like terms: 180 + -48 = 132
11x = 132

Divide each side by '11'.
x = 12

Simplifying
x = 12

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