10z-3=2z+2

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Solution for 10z-3=2z+2 equation:


Simplifying
10z + -3 = 2z + 2

Reorder the terms:
-3 + 10z = 2z + 2

Reorder the terms:
-3 + 10z = 2 + 2z

Solving
-3 + 10z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-3 + 10z + -2z = 2 + 2z + -2z

Combine like terms: 10z + -2z = 8z
-3 + 8z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-3 + 8z = 2 + 0
-3 + 8z = 2

Add '3' to each side of the equation.
-3 + 3 + 8z = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 8z = 2 + 3
8z = 2 + 3

Combine like terms: 2 + 3 = 5
8z = 5

Divide each side by '8'.
z = 0.625

Simplifying
z = 0.625

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