3(2z-2)=5(2+5)

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

Simplifying
3(2z + -2) = 5(2 + 5)

Reorder the terms:
3(-2 + 2z) = 5(2 + 5)
(-2 * 3 + 2z * 3) = 5(2 + 5)
(-6 + 6z) = 5(2 + 5)

Combine like terms: 2 + 5 = 7
-6 + 6z = 5(7)

Multiply 5 * 7
-6 + 6z = 35

Solving
-6 + 6z = 35

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 6z = 35 + 6

Combine like terms: -6 + 6 = 0
0 + 6z = 35 + 6
6z = 35 + 6

Combine like terms: 35 + 6 = 41
6z = 41

Divide each side by '6'.
z = 6.833333333

Simplifying
z = 6.833333333