(2x+7)+(6X-24)=180

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Solution for (2x+7)+(6X-24)=180 equation:


Simplifying
(2x + 7) + (6X + -24) = 180

Reorder the terms:
(7 + 2x) + (6X + -24) = 180

Remove parenthesis around (7 + 2x)
7 + 2x + (6X + -24) = 180

Reorder the terms:
7 + 2x + (-24 + 6X) = 180

Remove parenthesis around (-24 + 6X)
7 + 2x + -24 + 6X = 180

Reorder the terms:
7 + -24 + 6X + 2x = 180

Combine like terms: 7 + -24 = -17
-17 + 6X + 2x = 180

Solving
-17 + 6X + 2x = 180

Solving for variable 'X'.

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

Add '17' to each side of the equation.
-17 + 6X + 17 + 2x = 180 + 17

Reorder the terms:
-17 + 17 + 6X + 2x = 180 + 17

Combine like terms: -17 + 17 = 0
0 + 6X + 2x = 180 + 17
6X + 2x = 180 + 17

Combine like terms: 180 + 17 = 197
6X + 2x = 197

Add '-2x' to each side of the equation.
6X + 2x + -2x = 197 + -2x

Combine like terms: 2x + -2x = 0
6X + 0 = 197 + -2x
6X = 197 + -2x

Divide each side by '6'.
X = 32.83333333 + -0.3333333333x

Simplifying
X = 32.83333333 + -0.3333333333x

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