17-0.3(z-12)=0.8(2z-12)

Solution for 17-0.3(z-12)=0.8(2z-12) equation:

Simplifying
17 + -0.3(z + -12) = 0.8(2z + -12)

Reorder the terms:
17 + -0.3(-12 + z) = 0.8(2z + -12)
17 + (-12 * -0.3 + z * -0.3) = 0.8(2z + -12)
17 + (3.6 + -0.3z) = 0.8(2z + -12)

Combine like terms: 17 + 3.6 = 20.6
20.6 + -0.3z = 0.8(2z + -12)

Reorder the terms:
20.6 + -0.3z = 0.8(-12 + 2z)
20.6 + -0.3z = (-12 * 0.8 + 2z * 0.8)
20.6 + -0.3z = (-9.6 + 1.6z)

Solving
20.6 + -0.3z = -9.6 + 1.6z

Solving for variable 'z'.

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

Add '-1.6z' to each side of the equation.
20.6 + -0.3z + -1.6z = -9.6 + 1.6z + -1.6z

Combine like terms: -0.3z + -1.6z = -1.9z
20.6 + -1.9z = -9.6 + 1.6z + -1.6z

Combine like terms: 1.6z + -1.6z = 0.0
20.6 + -1.9z = -9.6 + 0.0
20.6 + -1.9z = -9.6

Add '-20.6' to each side of the equation.
20.6 + -20.6 + -1.9z = -9.6 + -20.6

Combine like terms: 20.6 + -20.6 = 0.0
0.0 + -1.9z = -9.6 + -20.6
-1.9z = -9.6 + -20.6

Combine like terms: -9.6 + -20.6 = -30.2
-1.9z = -30.2

Divide each side by '-1.9'.
z = 15.89473684

Simplifying
z = 15.89473684