.5(10z+20)-5=.1(50z+50)

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Solution for .5(10z+20)-5=.1(50z+50) equation: 


Simplifying
0.5(10z + 20) + -5 = 0.1(50z + 50)

Reorder the terms:
0.5(20 + 10z) + -5 = 0.1(50z + 50)
(20 * 0.5 + 10z * 0.5) + -5 = 0.1(50z + 50)
(10 + 5z) + -5 = 0.1(50z + 50)

Reorder the terms:
10 + -5 + 5z = 0.1(50z + 50)

Combine like terms: 10 + -5 = 5
5 + 5z = 0.1(50z + 50)

Reorder the terms:
5 + 5z = 0.1(50 + 50z)
5 + 5z = (50 * 0.1 + 50z * 0.1)
5 + 5z = (5 + 5z)

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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