0.7(z-17)=0.3(z-0.5)

Solution for 0.7(z-17)=0.3(z-0.5) equation:

Simplifying
0.7(z + -17) = 0.3(z + -0.5)

Reorder the terms:
0.7(-17 + z) = 0.3(z + -0.5)
(-17 * 0.7 + z * 0.7) = 0.3(z + -0.5)
(-11.9 + 0.7z) = 0.3(z + -0.5)

Reorder the terms:
-11.9 + 0.7z = 0.3(-0.5 + z)
-11.9 + 0.7z = (-0.5 * 0.3 + z * 0.3)
-11.9 + 0.7z = (-0.15 + 0.3z)

Solving
-11.9 + 0.7z = -0.15 + 0.3z

Solving for variable 'z'.

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

Add '-0.3z' to each side of the equation.
-11.9 + 0.7z + -0.3z = -0.15 + 0.3z + -0.3z

Combine like terms: 0.7z + -0.3z = 0.4z
-11.9 + 0.4z = -0.15 + 0.3z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
-11.9 + 0.4z = -0.15 + 0.0
-11.9 + 0.4z = -0.15

Add '11.9' to each side of the equation.
-11.9 + 11.9 + 0.4z = -0.15 + 11.9

Combine like terms: -11.9 + 11.9 = 0.0
0.0 + 0.4z = -0.15 + 11.9
0.4z = -0.15 + 11.9

Combine like terms: -0.15 + 11.9 = 11.75
0.4z = 11.75

Divide each side by '0.4'.
z = 29.375

Simplifying
z = 29.375