4.2z-1.3=3.7z+2.6

Solution for 4.2z-1.3=3.7z+2.6 equation:

Simplifying
4.2z + -1.3 = 3.7z + 2.6

Reorder the terms:
-1.3 + 4.2z = 3.7z + 2.6

Reorder the terms:
-1.3 + 4.2z = 2.6 + 3.7z

Solving
-1.3 + 4.2z = 2.6 + 3.7z

Solving for variable 'z'.

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

Add '-3.7z' to each side of the equation.
-1.3 + 4.2z + -3.7z = 2.6 + 3.7z + -3.7z

Combine like terms: 4.2z + -3.7z = 0.5z
-1.3 + 0.5z = 2.6 + 3.7z + -3.7z

Combine like terms: 3.7z + -3.7z = 0.0
-1.3 + 0.5z = 2.6 + 0.0
-1.3 + 0.5z = 2.6

Add '1.3' to each side of the equation.
-1.3 + 1.3 + 0.5z = 2.6 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + 0.5z = 2.6 + 1.3
0.5z = 2.6 + 1.3

Combine like terms: 2.6 + 1.3 = 3.9
0.5z = 3.9

Divide each side by '0.5'.
z = 7.8

Simplifying
z = 7.8