(z-10)+(2z-10)=40

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Solution for (z-10)+(2z-10)=40 equation:


Simplifying
(z + -10) + (2z + -10) = 40

Reorder the terms:
(-10 + z) + (2z + -10) = 40

Remove parenthesis around (-10 + z)
-10 + z + (2z + -10) = 40

Reorder the terms:
-10 + z + (-10 + 2z) = 40

Remove parenthesis around (-10 + 2z)
-10 + z + -10 + 2z = 40

Reorder the terms:
-10 + -10 + z + 2z = 40

Combine like terms: -10 + -10 = -20
-20 + z + 2z = 40

Combine like terms: z + 2z = 3z
-20 + 3z = 40

Solving
-20 + 3z = 40

Solving for variable 'z'.

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

Add '20' to each side of the equation.
-20 + 20 + 3z = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 3z = 40 + 20
3z = 40 + 20

Combine like terms: 40 + 20 = 60
3z = 60

Divide each side by '3'.
z = 20

Simplifying
z = 20

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