8.4z-2.6=5.4z+10.3

Solution for 8.4z-2.6=5.4z+10.3 equation:

Simplifying
8.4z + -2.6 = 5.4z + 10.3

Reorder the terms:
-2.6 + 8.4z = 5.4z + 10.3

Reorder the terms:
-2.6 + 8.4z = 10.3 + 5.4z

Solving
-2.6 + 8.4z = 10.3 + 5.4z

Solving for variable 'z'.

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

Add '-5.4z' to each side of the equation.
-2.6 + 8.4z + -5.4z = 10.3 + 5.4z + -5.4z

Combine like terms: 8.4z + -5.4z = 3z
-2.6 + 3z = 10.3 + 5.4z + -5.4z

Combine like terms: 5.4z + -5.4z = 0.0
-2.6 + 3z = 10.3 + 0.0
-2.6 + 3z = 10.3

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 3z = 10.3 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 3z = 10.3 + 2.6
3z = 10.3 + 2.6

Combine like terms: 10.3 + 2.6 = 12.9
3z = 12.9

Divide each side by '3'.
z = 4.3

Simplifying
z = 4.3