3z-5=2z+2

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Solution for 3z-5=2z+2 equation:


Simplifying
3z + -5 = 2z + 2

Reorder the terms:
-5 + 3z = 2z + 2

Reorder the terms:
-5 + 3z = 2 + 2z

Solving
-5 + 3z = 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.
-5 + 3z + -2z = 2 + 2z + -2z

Combine like terms: 3z + -2z = 1z
-5 + 1z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-5 + 1z = 2 + 0
-5 + 1z = 2

Add '5' to each side of the equation.
-5 + 5 + 1z = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 1z = 2 + 5
1z = 2 + 5

Combine like terms: 2 + 5 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7

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