14z+6=53z-20

Solution for 14z+6=53z-20 equation:

Simplifying
14z + 6 = 53z + -20

Reorder the terms:
6 + 14z = 53z + -20

Reorder the terms:
6 + 14z = -20 + 53z

Solving
6 + 14z = -20 + 53z

Solving for variable 'z'.

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

Add '-53z' to each side of the equation.
6 + 14z + -53z = -20 + 53z + -53z

Combine like terms: 14z + -53z = -39z
6 + -39z = -20 + 53z + -53z

Combine like terms: 53z + -53z = 0
6 + -39z = -20 + 0
6 + -39z = -20

Add '-6' to each side of the equation.
6 + -6 + -39z = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -39z = -20 + -6
-39z = -20 + -6

Combine like terms: -20 + -6 = -26
-39z = -26

Divide each side by '-39'.
z = 0.6666666667

Simplifying
z = 0.6666666667