-0.1(z-3)=1.9(z-10)

Solution for -0.1(z-3)=1.9(z-10) equation:

Simplifying
-0.1(z + -3) = 1.9(z + -10)

Reorder the terms:
-0.1(-3 + z) = 1.9(z + -10)
(-3 * -0.1 + z * -0.1) = 1.9(z + -10)
(0.3 + -0.1z) = 1.9(z + -10)

Reorder the terms:
0.3 + -0.1z = 1.9(-10 + z)
0.3 + -0.1z = (-10 * 1.9 + z * 1.9)
0.3 + -0.1z = (-19 + 1.9z)

Solving
0.3 + -0.1z = -19 + 1.9z

Solving for variable 'z'.

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

Add '-1.9z' to each side of the equation.
0.3 + -0.1z + -1.9z = -19 + 1.9z + -1.9z

Combine like terms: -0.1z + -1.9z = -2z
0.3 + -2z = -19 + 1.9z + -1.9z

Combine like terms: 1.9z + -1.9z = 0.0
0.3 + -2z = -19 + 0.0
0.3 + -2z = -19

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -2z = -19 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -2z = -19 + -0.3
-2z = -19 + -0.3

Combine like terms: -19 + -0.3 = -19.3
-2z = -19.3

Divide each side by '-2'.
z = 9.65

Simplifying
z = 9.65