Z-0.2z+4.8=1.6(z-0.5)

Solution for Z-0.2z+4.8=1.6(z-0.5) equation:

Simplifying
Z + -0.2z + 4.8 = 1.6(z + -0.5)

Reorder the terms:
4.8 + Z + -0.2z = 1.6(z + -0.5)

Reorder the terms:
4.8 + Z + -0.2z = 1.6(-0.5 + z)
4.8 + Z + -0.2z = (-0.5 * 1.6 + z * 1.6)
4.8 + Z + -0.2z = (-0.8 + 1.6z)

Solving
4.8 + Z + -0.2z = -0.8 + 1.6z

Solving for variable 'Z'.

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

Add '-4.8' to each side of the equation.
4.8 + Z + -4.8 + -0.2z = -0.8 + -4.8 + 1.6z

Reorder the terms:
4.8 + -4.8 + Z + -0.2z = -0.8 + -4.8 + 1.6z

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + Z + -0.2z = -0.8 + -4.8 + 1.6z
Z + -0.2z = -0.8 + -4.8 + 1.6z

Combine like terms: -0.8 + -4.8 = -5.6
Z + -0.2z = -5.6 + 1.6z

Add '0.2z' to each side of the equation.
Z + -0.2z + 0.2z = -5.6 + 1.6z + 0.2z

Combine like terms: -0.2z + 0.2z = 0.0
Z + 0.0 = -5.6 + 1.6z + 0.2z
Z = -5.6 + 1.6z + 0.2z

Combine like terms: 1.6z + 0.2z = 1.8z
Z = -5.6 + 1.8z

Simplifying
Z = -5.6 + 1.8z