5.2z-4.6-7.1z=0.9z-4.6

Solution for 5.2z-4.6-7.1z=0.9z-4.6 equation:

Simplifying
5.2z + -4.6 + -7.1z = 0.9z + -4.6

Reorder the terms:
-4.6 + 5.2z + -7.1z = 0.9z + -4.6

Combine like terms: 5.2z + -7.1z = -1.9z
-4.6 + -1.9z = 0.9z + -4.6

Reorder the terms:
-4.6 + -1.9z = -4.6 + 0.9z

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -1.9z = -4.6 + 4.6 + 0.9z

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -1.9z = -4.6 + 4.6 + 0.9z
-1.9z = -4.6 + 4.6 + 0.9z

Combine like terms: -4.6 + 4.6 = 0.0
-1.9z = 0.0 + 0.9z
-1.9z = 0.9z

Solving
-1.9z = 0.9z

Solving for variable 'z'.

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

Add '-0.9z' to each side of the equation.
-1.9z + -0.9z = 0.9z + -0.9z

Combine like terms: -1.9z + -0.9z = -2.8z
-2.8z = 0.9z + -0.9z

Combine like terms: 0.9z + -0.9z = 0.0
-2.8z = 0.0

Divide each side by '-2.8'.
z = 0

Simplifying
z = 0