3(2z-7)=5z+17+c

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Solution for 3(2z-7)=5z+17+c equation: 


Simplifying
3(2z + -7) = 5z + 17 + c

Reorder the terms:
3(-7 + 2z) = 5z + 17 + c
(-7 * 3 + 2z * 3) = 5z + 17 + c
(-21 + 6z) = 5z + 17 + c

Reorder the terms:
-21 + 6z = 17 + c + 5z

Solving
-21 + 6z = 17 + c + 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.
-21 + 6z + -5z = 17 + c + 5z + -5z

Combine like terms: 6z + -5z = 1z
-21 + 1z = 17 + c + 5z + -5z

Combine like terms: 5z + -5z = 0
-21 + 1z = 17 + c + 0
-21 + 1z = 17 + c

Add '21' to each side of the equation.
-21 + 21 + 1z = 17 + 21 + c

Combine like terms: -21 + 21 = 0
0 + 1z = 17 + 21 + c
1z = 17 + 21 + c

Combine like terms: 17 + 21 = 38
1z = 38 + c

Divide each side by '1'.
z = 38 + c

Simplifying
z = 38 + c

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