2(4-1)=3(z+2)

Solution for 2(4-1)=3(z+2) equation:

Simplifying
2(4 + -1) = 3(z + 2)

Combine like terms: 4 + -1 = 3
2(3) = 3(z + 2)

Multiply 2 * 3
6 = 3(z + 2)

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

Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + 3z

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

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

Solving
0 = 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.
0 + -3z = 3z + -3z
Remove the zero:
-3z = 3z + -3z

Combine like terms: 3z + -3z = 0
-3z = 0

Divide each side by '-3'.
z = 0

Simplifying
z = 0