10z-21=7z+21

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Solution for 10z-21=7z+21 equation:


Simplifying
10z + -21 = 7z + 21

Reorder the terms:
-21 + 10z = 7z + 21

Reorder the terms:
-21 + 10z = 21 + 7z

Solving
-21 + 10z = 21 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-21 + 10z + -7z = 21 + 7z + -7z

Combine like terms: 10z + -7z = 3z
-21 + 3z = 21 + 7z + -7z

Combine like terms: 7z + -7z = 0
-21 + 3z = 21 + 0
-21 + 3z = 21

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

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

Combine like terms: 21 + 21 = 42
3z = 42

Divide each side by '3'.
z = 14

Simplifying
z = 14

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