(6x-15)+(2x+11)=180

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Solution for (6x-15)+(2x+11)=180 equation:


Simplifying
(6x + -15) + (2x + 11) = 180

Reorder the terms:
(-15 + 6x) + (2x + 11) = 180

Remove parenthesis around (-15 + 6x)
-15 + 6x + (2x + 11) = 180

Reorder the terms:
-15 + 6x + (11 + 2x) = 180

Remove parenthesis around (11 + 2x)
-15 + 6x + 11 + 2x = 180

Reorder the terms:
-15 + 11 + 6x + 2x = 180

Combine like terms: -15 + 11 = -4
-4 + 6x + 2x = 180

Combine like terms: 6x + 2x = 8x
-4 + 8x = 180

Solving
-4 + 8x = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 180 + 4
8x = 180 + 4

Combine like terms: 180 + 4 = 184
8x = 184

Divide each side by '8'.
x = 23

Simplifying
x = 23

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