3(z-23)=39-3(z-3)

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Solution for 3(z-23)=39-3(z-3) equation: 


Simplifying
3(z + -23) = 39 + -3(z + -3)

Reorder the terms:
3(-23 + z) = 39 + -3(z + -3)
(-23 * 3 + z * 3) = 39 + -3(z + -3)
(-69 + 3z) = 39 + -3(z + -3)

Reorder the terms:
-69 + 3z = 39 + -3(-3 + z)
-69 + 3z = 39 + (-3 * -3 + z * -3)
-69 + 3z = 39 + (9 + -3z)

Combine like terms: 39 + 9 = 48
-69 + 3z = 48 + -3z

Solving
-69 + 3z = 48 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-69 + 3z + 3z = 48 + -3z + 3z

Combine like terms: 3z + 3z = 6z
-69 + 6z = 48 + -3z + 3z

Combine like terms: -3z + 3z = 0
-69 + 6z = 48 + 0
-69 + 6z = 48

Add '69' to each side of the equation.
-69 + 69 + 6z = 48 + 69

Combine like terms: -69 + 69 = 0
0 + 6z = 48 + 69
6z = 48 + 69

Combine like terms: 48 + 69 = 117
6z = 117

Divide each side by '6'.
z = 19.5

Simplifying
z = 19.5

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