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

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

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

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

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

Multiply 3 * 3
6 + 2z = 9

Solving
6 + 2z = 9

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 + 2z = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = 9 + -6
2z = 9 + -6

Combine like terms: 9 + -6 = 3
2z = 3

Divide each side by '2'.
z = 1.5

Simplifying
z = 1.5