3(z-5)=2z

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

Simplifying
3(z + -5) = 2z

Reorder the terms:
3(-5 + z) = 2z
(-5 * 3 + z * 3) = 2z
(-15 + 3z) = 2z

Solving
-15 + 3z = 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-15 + 3z + -2z = 2z + -2z

Combine like terms: 3z + -2z = 1z
-15 + 1z = 2z + -2z

Combine like terms: 2z + -2z = 0
-15 + 1z = 0

Add '15' to each side of the equation.
-15 + 15 + 1z = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1z = 0 + 15
1z = 0 + 15

Combine like terms: 0 + 15 = 15
1z = 15

Divide each side by '1'.
z = 15

Simplifying
z = 15