5z-12=2z+15

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Solution for 5z-12=2z+15 equation:


Simplifying
5z + -12 = 2z + 15

Reorder the terms:
-12 + 5z = 2z + 15

Reorder the terms:
-12 + 5z = 15 + 2z

Solving
-12 + 5z = 15 + 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.
-12 + 5z + -2z = 15 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-12 + 3z = 15 + 2z + -2z

Combine like terms: 2z + -2z = 0
-12 + 3z = 15 + 0
-12 + 3z = 15

Add '12' to each side of the equation.
-12 + 12 + 3z = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 3z = 15 + 12
3z = 15 + 12

Combine like terms: 15 + 12 = 27
3z = 27

Divide each side by '3'.
z = 9

Simplifying
z = 9

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