(3x-16)+(x+6)+(x)=180

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Solution for (3x-16)+(x+6)+(x)=180 equation:


Simplifying
(3x + -16) + (x + 6) + (x) = 180

Reorder the terms:
(-16 + 3x) + (x + 6) + (x) = 180

Remove parenthesis around (-16 + 3x)
-16 + 3x + (x + 6) + (x) = 180

Reorder the terms:
-16 + 3x + (6 + x) + (x) = 180

Remove parenthesis around (6 + x)
-16 + 3x + 6 + x + (x) = 180
-16 + 3x + 6 + x + x = 180

Reorder the terms:
-16 + 6 + 3x + x + x = 180

Combine like terms: -16 + 6 = -10
-10 + 3x + x + x = 180

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

Combine like terms: 4x + x = 5x
-10 + 5x = 180

Solving
-10 + 5x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 180 + 10
5x = 180 + 10

Combine like terms: 180 + 10 = 190
5x = 190

Divide each side by '5'.
x = 38

Simplifying
x = 38

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