2(4z+3)-7=55

Solution for 2(4z+3)-7=55 equation:

Simplifying
2(4z + 3) + -7 = 55

Reorder the terms:
2(3 + 4z) + -7 = 55
(3 * 2 + 4z * 2) + -7 = 55
(6 + 8z) + -7 = 55

Reorder the terms:
6 + -7 + 8z = 55

Combine like terms: 6 + -7 = -1
-1 + 8z = 55

Solving
-1 + 8z = 55

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 8z = 55 + 1

Combine like terms: -1 + 1 = 0
0 + 8z = 55 + 1
8z = 55 + 1

Combine like terms: 55 + 1 = 56
8z = 56

Divide each side by '8'.
z = 7

Simplifying
z = 7