5z+3=-3+2(z+8)

Solution for 5z+3=-3+2(z+8) equation:

Simplifying
5z + 3 = -3 + 2(z + 8)

Reorder the terms:
3 + 5z = -3 + 2(z + 8)

Reorder the terms:
3 + 5z = -3 + 2(8 + z)
3 + 5z = -3 + (8 * 2 + z * 2)
3 + 5z = -3 + (16 + 2z)

Combine like terms: -3 + 16 = 13
3 + 5z = 13 + 2z

Solving
3 + 5z = 13 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.
3 + 5z + -2z = 13 + 2z + -2z

Combine like terms: 5z + -2z = 3z
3 + 3z = 13 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 3z = 13 + 0
3 + 3z = 13

Add '-3' to each side of the equation.
3 + -3 + 3z = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 3z = 13 + -3
3z = 13 + -3

Combine like terms: 13 + -3 = 10
3z = 10

Divide each side by '3'.
z = 3.333333333

Simplifying
z = 3.333333333