(x-4)+(3x+1)-x=180

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Solution for (x-4)+(3x+1)-x=180 equation:


Simplifying
(x + -4) + (3x + 1) + -1x = 180

Reorder the terms:
(-4 + x) + (3x + 1) + -1x = 180

Remove parenthesis around (-4 + x)
-4 + x + (3x + 1) + -1x = 180

Reorder the terms:
-4 + x + (1 + 3x) + -1x = 180

Remove parenthesis around (1 + 3x)
-4 + x + 1 + 3x + -1x = 180

Reorder the terms:
-4 + 1 + x + 3x + -1x = 180

Combine like terms: -4 + 1 = -3
-3 + x + 3x + -1x = 180

Combine like terms: x + 3x = 4x
-3 + 4x + -1x = 180

Combine like terms: 4x + -1x = 3x
-3 + 3x = 180

Solving
-3 + 3x = 180

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 180 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 180 + 3
3x = 180 + 3

Combine like terms: 180 + 3 = 183
3x = 183

Divide each side by '3'.
x = 61

Simplifying
x = 61

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