(x-10)+(3x+6)+(x-11)=180

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Solution for (x-10)+(3x+6)+(x-11)=180 equation:


Simplifying
(x + -10) + (3x + 6) + (x + -11) = 180

Reorder the terms:
(-10 + x) + (3x + 6) + (x + -11) = 180

Remove parenthesis around (-10 + x)
-10 + x + (3x + 6) + (x + -11) = 180

Reorder the terms:
-10 + x + (6 + 3x) + (x + -11) = 180

Remove parenthesis around (6 + 3x)
-10 + x + 6 + 3x + (x + -11) = 180

Reorder the terms:
-10 + x + 6 + 3x + (-11 + x) = 180

Remove parenthesis around (-11 + x)
-10 + x + 6 + 3x + -11 + x = 180

Reorder the terms:
-10 + 6 + -11 + x + 3x + x = 180

Combine like terms: -10 + 6 = -4
-4 + -11 + x + 3x + x = 180

Combine like terms: -4 + -11 = -15
-15 + x + 3x + x = 180

Combine like terms: x + 3x = 4x
-15 + 4x + x = 180

Combine like terms: 4x + x = 5x
-15 + 5x = 180

Solving
-15 + 5x = 180

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 180 + 15
5x = 180 + 15

Combine like terms: 180 + 15 = 195
5x = 195

Divide each side by '5'.
x = 39

Simplifying
x = 39

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