2z+15=5z-21

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Solution for 2z+15=5z-21 equation: 


Simplifying
2z + 15 = 5z + -21

Reorder the terms:
15 + 2z = 5z + -21

Reorder the terms:
15 + 2z = -21 + 5z

Solving
15 + 2z = -21 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
15 + 2z + -5z = -21 + 5z + -5z

Combine like terms: 2z + -5z = -3z
15 + -3z = -21 + 5z + -5z

Combine like terms: 5z + -5z = 0
15 + -3z = -21 + 0
15 + -3z = -21

Add '-15' to each side of the equation.
15 + -15 + -3z = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -3z = -21 + -15
-3z = -21 + -15

Combine like terms: -21 + -15 = -36
-3z = -36

Divide each side by '-3'.
z = 12

Simplifying
z = 12

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