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