6.4+3.1(z-2)=10.5

Solution for 6.4+3.1(z-2)=10.5 equation:

Simplifying
6.4 + 3.1(z + -2) = 10.5

Reorder the terms:
6.4 + 3.1(-2 + z) = 10.5
6.4 + (-2 * 3.1 + z * 3.1) = 10.5
6.4 + (-6.2 + 3.1z) = 10.5

Combine like terms: 6.4 + -6.2 = 0.2
0.2 + 3.1z = 10.5

Solving
0.2 + 3.1z = 10.5

Solving for variable 'z'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 3.1z = 10.5 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 3.1z = 10.5 + -0.2
3.1z = 10.5 + -0.2

Combine like terms: 10.5 + -0.2 = 10.3
3.1z = 10.3

Divide each side by '3.1'.
z = 3.322580645

Simplifying
z = 3.322580645