2z+4=3(z+1)

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

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

Reorder the terms:
4 + 2z = 3(z + 1)

Reorder the terms:
4 + 2z = 3(1 + z)
4 + 2z = (1 * 3 + z * 3)
4 + 2z = (3 + 3z)

Solving
4 + 2z = 3 + 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.
4 + 2z + -3z = 3 + 3z + -3z

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

Combine like terms: 3z + -3z = 0
4 + -1z = 3 + 0
4 + -1z = 3

Add '-4' to each side of the equation.
4 + -4 + -1z = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = 3 + -4
-1z = 3 + -4

Combine like terms: 3 + -4 = -1
-1z = -1

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

Simplifying
z = 1