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

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


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

Reorder the terms:
2(-15 + x) + 6(x + 15) = 180
(-15 * 2 + x * 2) + 6(x + 15) = 180
(-30 + 2x) + 6(x + 15) = 180

Reorder the terms:
-30 + 2x + 6(15 + x) = 180
-30 + 2x + (15 * 6 + x * 6) = 180
-30 + 2x + (90 + 6x) = 180

Reorder the terms:
-30 + 90 + 2x + 6x = 180

Combine like terms: -30 + 90 = 60
60 + 2x + 6x = 180

Combine like terms: 2x + 6x = 8x
60 + 8x = 180

Solving
60 + 8x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 8x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 8x = 180 + -60
8x = 180 + -60

Combine like terms: 180 + -60 = 120
8x = 120

Divide each side by '8'.
x = 15

Simplifying
x = 15

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