(X-2)+(3x-7)+(5x)=180

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Solution for (X-2)+(3x-7)+(5x)=180 equation:


Simplifying
(X + -2) + (3x + -7) + (5x) = 180

Reorder the terms:
(-2 + X) + (3x + -7) + (5x) = 180

Remove parenthesis around (-2 + X)
-2 + X + (3x + -7) + (5x) = 180

Reorder the terms:
-2 + X + (-7 + 3x) + (5x) = 180

Remove parenthesis around (-7 + 3x)
-2 + X + -7 + 3x + (5x) = 180

Reorder the terms:
-2 + -7 + X + 3x + (5x) = 180

Combine like terms: -2 + -7 = -9
-9 + X + 3x + (5x) = 180

Combine like terms: 3x + (5x) = 8x
-9 + X + 8x = 180

Solving
-9 + X + 8x = 180

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + X + 9 + 8x = 180 + 9

Reorder the terms:
-9 + 9 + X + 8x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + X + 8x = 180 + 9
X + 8x = 180 + 9

Combine like terms: 180 + 9 = 189
X + 8x = 189

Add '-8x' to each side of the equation.
X + 8x + -8x = 189 + -8x

Combine like terms: 8x + -8x = 0
X + 0 = 189 + -8x
X = 189 + -8x

Simplifying
X = 189 + -8x

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