2(5z+3)=z+15

Solution for 2(5z+3)=z+15 equation:

Simplifying
2(5z + 3) = z + 15

Reorder the terms:
2(3 + 5z) = z + 15
(3 * 2 + 5z * 2) = z + 15
(6 + 10z) = z + 15

Reorder the terms:
6 + 10z = 15 + z

Solving
6 + 10z = 15 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 10z + -1z = 15 + z + -1z

Combine like terms: 10z + -1z = 9z
6 + 9z = 15 + z + -1z

Combine like terms: z + -1z = 0
6 + 9z = 15 + 0
6 + 9z = 15

Add '-6' to each side of the equation.
6 + -6 + 9z = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 9z = 15 + -6
9z = 15 + -6

Combine like terms: 15 + -6 = 9
9z = 9

Divide each side by '9'.
z = 1

Simplifying
z = 1