(4y)+(x+10)+(x-y+z)=180

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Solution for (4y)+(x+10)+(x-y+z)=180 equation:


Simplifying
(4y) + (x + 10) + (x + -1y + z) = 180

Reorder the terms:
(4y) + (10 + x) + (x + -1y + z) = 180

Remove parenthesis around (10 + x)
(4y) + 10 + x + (x + -1y + z) = 180

Remove parenthesis around (x + -1y + z)
(4y) + 10 + x + x + -1y + z = 180

Reorder the terms:
10 + x + x + (4y) + -1y + z = 180

Combine like terms: x + x = 2x
10 + 2x + (4y) + -1y + z = 180

Combine like terms: (4y) + -1y = 3y
10 + 2x + 3y + z = 180

Solving
10 + 2x + 3y + z = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + 3y + -10 + z = 180 + -10

Reorder the terms:
10 + -10 + 2x + 3y + z = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 3y + z = 180 + -10
2x + 3y + z = 180 + -10

Combine like terms: 180 + -10 = 170
2x + 3y + z = 170

Add '-3y' to each side of the equation.
2x + 3y + -3y + z = 170 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 + z = 170 + -3y
2x + z = 170 + -3y

Add '-1z' to each side of the equation.
2x + z + -1z = 170 + -3y + -1z

Combine like terms: z + -1z = 0
2x + 0 = 170 + -3y + -1z
2x = 170 + -3y + -1z

Divide each side by '2'.
x = 85 + -1.5y + -0.5z

Simplifying
x = 85 + -1.5y + -0.5z

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