6z+6=13z+3

Solution for 6z+6=13z+3 equation:

Simplifying
6z + 6 = 13z + 3

Reorder the terms:
6 + 6z = 13z + 3

Reorder the terms:
6 + 6z = 3 + 13z

Solving
6 + 6z = 3 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
6 + 6z + -13z = 3 + 13z + -13z

Combine like terms: 6z + -13z = -7z
6 + -7z = 3 + 13z + -13z

Combine like terms: 13z + -13z = 0
6 + -7z = 3 + 0
6 + -7z = 3

Add '-6' to each side of the equation.
6 + -6 + -7z = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -7z = 3 + -6
-7z = 3 + -6

Combine like terms: 3 + -6 = -3
-7z = -3

Divide each side by '-7'.
z = 0.4285714286

Simplifying
z = 0.4285714286