z+1=3(z+2)

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

Simplifying
z + 1 = 3(z + 2)

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

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

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

Combine like terms: z + -3z = -2z
1 + -2z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
1 + -2z = 6 + 0
1 + -2z = 6

Add '-1' to each side of the equation.
1 + -1 + -2z = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -2z = 6 + -1
-2z = 6 + -1

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

Divide each side by '-2'.
z = -2.5

Simplifying
z = -2.5