-5.1z-4.6=-1.2z+3.2

Solution for -5.1z-4.6=-1.2z+3.2 equation:

Simplifying
-5.1z + -4.6 = -1.2z + 3.2

Reorder the terms:
-4.6 + -5.1z = -1.2z + 3.2

Reorder the terms:
-4.6 + -5.1z = 3.2 + -1.2z

Solving
-4.6 + -5.1z = 3.2 + -1.2z

Solving for variable 'z'.

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

Add '1.2z' to each side of the equation.
-4.6 + -5.1z + 1.2z = 3.2 + -1.2z + 1.2z

Combine like terms: -5.1z + 1.2z = -3.9z
-4.6 + -3.9z = 3.2 + -1.2z + 1.2z

Combine like terms: -1.2z + 1.2z = 0.0
-4.6 + -3.9z = 3.2 + 0.0
-4.6 + -3.9z = 3.2

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -3.9z = 3.2 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -3.9z = 3.2 + 4.6
-3.9z = 3.2 + 4.6

Combine like terms: 3.2 + 4.6 = 7.8
-3.9z = 7.8

Divide each side by '-3.9'.
z = -2

Simplifying
z = -2