0.2(z+2)=0.125(9-z)

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Solution for 0.2(z+2)=0.125(9-z) equation: 


Simplifying
0.2(z + 2) = 0.125(9 + -1z)

Reorder the terms:
0.2(2 + z) = 0.125(9 + -1z)
(2 * 0.2 + z * 0.2) = 0.125(9 + -1z)
(0.4 + 0.2z) = 0.125(9 + -1z)
0.4 + 0.2z = (9 * 0.125 + -1z * 0.125)
0.4 + 0.2z = (1.125 + -0.125z)

Solving
0.4 + 0.2z = 1.125 + -0.125z

Solving for variable 'z'.

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

Add '0.125z' to each side of the equation.
0.4 + 0.2z + 0.125z = 1.125 + -0.125z + 0.125z

Combine like terms: 0.2z + 0.125z = 0.325z
0.4 + 0.325z = 1.125 + -0.125z + 0.125z

Combine like terms: -0.125z + 0.125z = 0.000
0.4 + 0.325z = 1.125 + 0.000
0.4 + 0.325z = 1.125

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.325z = 1.125 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.325z = 1.125 + -0.4
0.325z = 1.125 + -0.4

Combine like terms: 1.125 + -0.4 = 0.725
0.325z = 0.725

Divide each side by '0.325'.
z = 2.230769231

Simplifying
z = 2.230769231

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