(30-x)+(4x-6)+(2x+16)=180

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Solution for (30-x)+(4x-6)+(2x+16)=180 equation:


Simplifying
(30 + -1x) + (4x + -6) + (2x + 16) = 180

Remove parenthesis around (30 + -1x)
30 + -1x + (4x + -6) + (2x + 16) = 180

Reorder the terms:
30 + -1x + (-6 + 4x) + (2x + 16) = 180

Remove parenthesis around (-6 + 4x)
30 + -1x + -6 + 4x + (2x + 16) = 180

Reorder the terms:
30 + -1x + -6 + 4x + (16 + 2x) = 180

Remove parenthesis around (16 + 2x)
30 + -1x + -6 + 4x + 16 + 2x = 180

Reorder the terms:
30 + -6 + 16 + -1x + 4x + 2x = 180

Combine like terms: 30 + -6 = 24
24 + 16 + -1x + 4x + 2x = 180

Combine like terms: 24 + 16 = 40
40 + -1x + 4x + 2x = 180

Combine like terms: -1x + 4x = 3x
40 + 3x + 2x = 180

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

Solving
40 + 5x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 5x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 180 + -40
5x = 180 + -40

Combine like terms: 180 + -40 = 140
5x = 140

Divide each side by '5'.
x = 28

Simplifying
x = 28

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