7(z+5)=6+8z

Solution for 7(z+5)=6+8z equation:

Simplifying
7(z + 5) = 6 + 8z

Reorder the terms:
7(5 + z) = 6 + 8z
(5 * 7 + z * 7) = 6 + 8z
(35 + 7z) = 6 + 8z

Solving
35 + 7z = 6 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
35 + 7z + -8z = 6 + 8z + -8z

Combine like terms: 7z + -8z = -1z
35 + -1z = 6 + 8z + -8z

Combine like terms: 8z + -8z = 0
35 + -1z = 6 + 0
35 + -1z = 6

Add '-35' to each side of the equation.
35 + -35 + -1z = 6 + -35

Combine like terms: 35 + -35 = 0
0 + -1z = 6 + -35
-1z = 6 + -35

Combine like terms: 6 + -35 = -29
-1z = -29

Divide each side by '-1'.
z = 29

Simplifying
z = 29