0.3z-0.1=1.2z+0.3

Solution for 0.3z-0.1=1.2z+0.3 equation:

Simplifying
0.3z + -0.1 = 1.2z + 0.3

Reorder the terms:
-0.1 + 0.3z = 1.2z + 0.3

Reorder the terms:
-0.1 + 0.3z = 0.3 + 1.2z

Solving
-0.1 + 0.3z = 0.3 + 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.
-0.1 + 0.3z + -1.2z = 0.3 + 1.2z + -1.2z

Combine like terms: 0.3z + -1.2z = -0.9z
-0.1 + -0.9z = 0.3 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
-0.1 + -0.9z = 0.3 + 0.0
-0.1 + -0.9z = 0.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.9z = 0.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.9z = 0.3 + 0.1
-0.9z = 0.3 + 0.1

Combine like terms: 0.3 + 0.1 = 0.4
-0.9z = 0.4

Divide each side by '-0.9'.
z = -0.4444444444

Simplifying
z = -0.4444444444