3(z+8)=2(z-5)

Solution for 3(z+8)=2(z-5) equation:

Simplifying
3(z + 8) = 2(z + -5)

Reorder the terms:
3(8 + z) = 2(z + -5)
(8 * 3 + z * 3) = 2(z + -5)
(24 + 3z) = 2(z + -5)

Reorder the terms:
24 + 3z = 2(-5 + z)
24 + 3z = (-5 * 2 + z * 2)
24 + 3z = (-10 + 2z)

Solving
24 + 3z = -10 + 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.
24 + 3z + -2z = -10 + 2z + -2z

Combine like terms: 3z + -2z = 1z
24 + 1z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 0
24 + 1z = -10 + 0
24 + 1z = -10

Add '-24' to each side of the equation.
24 + -24 + 1z = -10 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = -10 + -24
1z = -10 + -24

Combine like terms: -10 + -24 = -34
1z = -34

Divide each side by '1'.
z = -34

Simplifying
z = -34