-3.6z+1.3=0.2(z-3)

Solution for -3.6z+1.3=0.2(z-3) equation:

Simplifying
-3.6z + 1.3 = 0.2(z + -3)

Reorder the terms:
1.3 + -3.6z = 0.2(z + -3)

Reorder the terms:
1.3 + -3.6z = 0.2(-3 + z)
1.3 + -3.6z = (-3 * 0.2 + z * 0.2)
1.3 + -3.6z = (-0.6 + 0.2z)

Solving
1.3 + -3.6z = -0.6 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
1.3 + -3.6z + -0.2z = -0.6 + 0.2z + -0.2z

Combine like terms: -3.6z + -0.2z = -3.8z
1.3 + -3.8z = -0.6 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
1.3 + -3.8z = -0.6 + 0.0
1.3 + -3.8z = -0.6

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -3.8z = -0.6 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -3.8z = -0.6 + -1.3
-3.8z = -0.6 + -1.3

Combine like terms: -0.6 + -1.3 = -1.9
-3.8z = -1.9

Divide each side by '-3.8'.
z = 0.5

Simplifying
z = 0.5