-1.2(z-.5)=-.8(z-1)

Solution for -1.2(z-.5)=-.8(z-1) equation:

Simplifying
-1.2(z + -0.5) = -0.8(z + -1)

Reorder the terms:
-1.2(-0.5 + z) = -0.8(z + -1)
(-0.5 * -1.2 + z * -1.2) = -0.8(z + -1)
(0.6 + -1.2z) = -0.8(z + -1)

Reorder the terms:
0.6 + -1.2z = -0.8(-1 + z)
0.6 + -1.2z = (-1 * -0.8 + z * -0.8)
0.6 + -1.2z = (0.8 + -0.8z)

Solving
0.6 + -1.2z = 0.8 + -0.8z

Solving for variable 'z'.

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

Add '0.8z' to each side of the equation.
0.6 + -1.2z + 0.8z = 0.8 + -0.8z + 0.8z

Combine like terms: -1.2z + 0.8z = -0.4z
0.6 + -0.4z = 0.8 + -0.8z + 0.8z

Combine like terms: -0.8z + 0.8z = 0.0
0.6 + -0.4z = 0.8 + 0.0
0.6 + -0.4z = 0.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.4z = 0.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.4z = 0.8 + -0.6
-0.4z = 0.8 + -0.6

Combine like terms: 0.8 + -0.6 = 0.2
-0.4z = 0.2

Divide each side by '-0.4'.
z = -0.5

Simplifying
z = -0.5