(3x-5)+x=(-x+15)+180

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Solution for (3x-5)+x=(-x+15)+180 equation:


Simplifying
(3x + -5) + x = (-1x + 15) + 180

Reorder the terms:
(-5 + 3x) + x = (-1x + 15) + 180

Remove parenthesis around (-5 + 3x)
-5 + 3x + x = (-1x + 15) + 180

Combine like terms: 3x + x = 4x
-5 + 4x = (-1x + 15) + 180

Reorder the terms:
-5 + 4x = (15 + -1x) + 180

Remove parenthesis around (15 + -1x)
-5 + 4x = 15 + -1x + 180

Reorder the terms:
-5 + 4x = 15 + 180 + -1x

Combine like terms: 15 + 180 = 195
-5 + 4x = 195 + -1x

Solving
-5 + 4x = 195 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 4x + x = 195 + -1x + x

Combine like terms: 4x + x = 5x
-5 + 5x = 195 + -1x + x

Combine like terms: -1x + x = 0
-5 + 5x = 195 + 0
-5 + 5x = 195

Add '5' to each side of the equation.
-5 + 5 + 5x = 195 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 195 + 5
5x = 195 + 5

Combine like terms: 195 + 5 = 200
5x = 200

Divide each side by '5'.
x = 40

Simplifying
x = 40

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