5(z+1)=3(z+2)

Solution for 5(z+1)=3(z+2) equation:

Simplifying
5(z + 1) = 3(z + 2)

Reorder the terms:
5(1 + z) = 3(z + 2)
(1 * 5 + z * 5) = 3(z + 2)
(5 + 5z) = 3(z + 2)

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

Solving
5 + 5z = 6 + 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.
5 + 5z + -3z = 6 + 3z + -3z

Combine like terms: 5z + -3z = 2z
5 + 2z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + 2z = 6 + 0
5 + 2z = 6

Add '-5' to each side of the equation.
5 + -5 + 2z = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 2z = 6 + -5
2z = 6 + -5

Combine like terms: 6 + -5 = 1
2z = 1

Divide each side by '2'.
z = 0.5

Simplifying
z = 0.5