(3x-10)+(2x+5)+5z=180

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Solution for (3x-10)+(2x+5)+5z=180 equation:


Simplifying
(3x + -10) + (2x + 5) + 5z = 180

Reorder the terms:
(-10 + 3x) + (2x + 5) + 5z = 180

Remove parenthesis around (-10 + 3x)
-10 + 3x + (2x + 5) + 5z = 180

Reorder the terms:
-10 + 3x + (5 + 2x) + 5z = 180

Remove parenthesis around (5 + 2x)
-10 + 3x + 5 + 2x + 5z = 180

Reorder the terms:
-10 + 5 + 3x + 2x + 5z = 180

Combine like terms: -10 + 5 = -5
-5 + 3x + 2x + 5z = 180

Combine like terms: 3x + 2x = 5x
-5 + 5x + 5z = 180

Solving
-5 + 5x + 5z = 180

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 + 5 + 5z = 180 + 5

Reorder the terms:
-5 + 5 + 5x + 5z = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 5x + 5z = 180 + 5
5x + 5z = 180 + 5

Combine like terms: 180 + 5 = 185
5x + 5z = 185

Add '-5z' to each side of the equation.
5x + 5z + -5z = 185 + -5z

Combine like terms: 5z + -5z = 0
5x + 0 = 185 + -5z
5x = 185 + -5z

Divide each side by '5'.
x = 37 + -1z

Simplifying
x = 37 + -1z

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