10z+1.3=5z-1.6

Solution for 10z+1.3=5z-1.6 equation:

Simplifying
10z + 1.3 = 5z + -1.6

Reorder the terms:
1.3 + 10z = 5z + -1.6

Reorder the terms:
1.3 + 10z = -1.6 + 5z

Solving
1.3 + 10z = -1.6 + 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.
1.3 + 10z + -5z = -1.6 + 5z + -5z

Combine like terms: 10z + -5z = 5z
1.3 + 5z = -1.6 + 5z + -5z

Combine like terms: 5z + -5z = 0
1.3 + 5z = -1.6 + 0
1.3 + 5z = -1.6

Add '-1.3' to each side of the equation.
1.3 + -1.3 + 5z = -1.6 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + 5z = -1.6 + -1.3
5z = -1.6 + -1.3

Combine like terms: -1.6 + -1.3 = -2.9
5z = -2.9

Divide each side by '5'.
z = -0.58

Simplifying
z = -0.58