4z+6=5z+4

Solution for 4z+6=5z+4 equation:

Simplifying
4z + 6 = 5z + 4

Reorder the terms:
6 + 4z = 5z + 4

Reorder the terms:
6 + 4z = 4 + 5z

Solving
6 + 4z = 4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 4z + -5z = 4 + 5z + -5z

Combine like terms: 4z + -5z = -1z
6 + -1z = 4 + 5z + -5z

Combine like terms: 5z + -5z = 0
6 + -1z = 4 + 0
6 + -1z = 4

Add '-6' to each side of the equation.
6 + -6 + -1z = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 4 + -6
-1z = 4 + -6

Combine like terms: 4 + -6 = -2
-1z = -2

Divide each side by '-1'.
z = 2

Simplifying
z = 2