(3x-10)+(2x+15)+y+z=360

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Solution for (3x-10)+(2x+15)+y+z=360 equation:


Simplifying
(3x + -10) + (2x + 15) + y + z = 360

Reorder the terms:
(-10 + 3x) + (2x + 15) + y + z = 360

Remove parenthesis around (-10 + 3x)
-10 + 3x + (2x + 15) + y + z = 360

Reorder the terms:
-10 + 3x + (15 + 2x) + y + z = 360

Remove parenthesis around (15 + 2x)
-10 + 3x + 15 + 2x + y + z = 360

Reorder the terms:
-10 + 15 + 3x + 2x + y + z = 360

Combine like terms: -10 + 15 = 5
5 + 3x + 2x + y + z = 360

Combine like terms: 3x + 2x = 5x
5 + 5x + y + z = 360

Solving
5 + 5x + y + z = 360

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + 5x + y + -5 + z = 360 + -5

Reorder the terms:
5 + -5 + 5x + y + z = 360 + -5

Combine like terms: 5 + -5 = 0
0 + 5x + y + z = 360 + -5
5x + y + z = 360 + -5

Combine like terms: 360 + -5 = 355
5x + y + z = 355

Add '-1y' to each side of the equation.
5x + y + -1y + z = 355 + -1y

Combine like terms: y + -1y = 0
5x + 0 + z = 355 + -1y
5x + z = 355 + -1y

Add '-1z' to each side of the equation.
5x + z + -1z = 355 + -1y + -1z

Combine like terms: z + -1z = 0
5x + 0 = 355 + -1y + -1z
5x = 355 + -1y + -1z

Divide each side by '5'.
x = 71 + -0.2y + -0.2z

Simplifying
x = 71 + -0.2y + -0.2z

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