(4x-2)+(x-4)+y=180

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Solution for (4x-2)+(x-4)+y=180 equation:


Simplifying
(4x + -2) + (x + -4) + y = 180

Reorder the terms:
(-2 + 4x) + (x + -4) + y = 180

Remove parenthesis around (-2 + 4x)
-2 + 4x + (x + -4) + y = 180

Reorder the terms:
-2 + 4x + (-4 + x) + y = 180

Remove parenthesis around (-4 + x)
-2 + 4x + -4 + x + y = 180

Reorder the terms:
-2 + -4 + 4x + x + y = 180

Combine like terms: -2 + -4 = -6
-6 + 4x + x + y = 180

Combine like terms: 4x + x = 5x
-6 + 5x + y = 180

Solving
-6 + 5x + y = 180

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 5x + 6 + y = 180 + 6

Reorder the terms:
-6 + 6 + 5x + y = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 5x + y = 180 + 6
5x + y = 180 + 6

Combine like terms: 180 + 6 = 186
5x + y = 186

Add '-1y' to each side of the equation.
5x + y + -1y = 186 + -1y

Combine like terms: y + -1y = 0
5x + 0 = 186 + -1y
5x = 186 + -1y

Divide each side by '5'.
x = 37.2 + -0.2y

Simplifying
x = 37.2 + -0.2y

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