2(2x+11)+(x-2)=180

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Solution for 2(2x+11)+(x-2)=180 equation:


Simplifying
2(2x + 11) + (x + -2) = 180

Reorder the terms:
2(11 + 2x) + (x + -2) = 180
(11 * 2 + 2x * 2) + (x + -2) = 180
(22 + 4x) + (x + -2) = 180

Reorder the terms:
22 + 4x + (-2 + x) = 180

Remove parenthesis around (-2 + x)
22 + 4x + -2 + x = 180

Reorder the terms:
22 + -2 + 4x + x = 180

Combine like terms: 22 + -2 = 20
20 + 4x + x = 180

Combine like terms: 4x + x = 5x
20 + 5x = 180

Solving
20 + 5x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 5x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 180 + -20
5x = 180 + -20

Combine like terms: 180 + -20 = 160
5x = 160

Divide each side by '5'.
x = 32

Simplifying
x = 32

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