5z-10=2z+2

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Solution for 5z-10=2z+2 equation: 


Simplifying
5z + -10 = 2z + 2

Reorder the terms:
-10 + 5z = 2z + 2

Reorder the terms:
-10 + 5z = 2 + 2z

Solving
-10 + 5z = 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.
-10 + 5z + -2z = 2 + 2z + -2z

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

Combine like terms: 2z + -2z = 0
-10 + 3z = 2 + 0
-10 + 3z = 2

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

Combine like terms: -10 + 10 = 0
0 + 3z = 2 + 10
3z = 2 + 10

Combine like terms: 2 + 10 = 12
3z = 12

Divide each side by '3'.
z = 4

Simplifying
z = 4

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