4-0.9(z-14)=0.5(4z-14)

Solution for 4-0.9(z-14)=0.5(4z-14) equation:

Simplifying
4 + -0.9(z + -14) = 0.5(4z + -14)

Reorder the terms:
4 + -0.9(-14 + z) = 0.5(4z + -14)
4 + (-14 * -0.9 + z * -0.9) = 0.5(4z + -14)
4 + (12.6 + -0.9z) = 0.5(4z + -14)

Combine like terms: 4 + 12.6 = 16.6
16.6 + -0.9z = 0.5(4z + -14)

Reorder the terms:
16.6 + -0.9z = 0.5(-14 + 4z)
16.6 + -0.9z = (-14 * 0.5 + 4z * 0.5)
16.6 + -0.9z = (-7 + 2z)

Solving
16.6 + -0.9z = -7 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
16.6 + -0.9z + -2z = -7 + 2z + -2z

Combine like terms: -0.9z + -2z = -2.9z
16.6 + -2.9z = -7 + 2z + -2z

Combine like terms: 2z + -2z = 0
16.6 + -2.9z = -7 + 0
16.6 + -2.9z = -7

Add '-16.6' to each side of the equation.
16.6 + -16.6 + -2.9z = -7 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + -2.9z = -7 + -16.6
-2.9z = -7 + -16.6

Combine like terms: -7 + -16.6 = -23.6
-2.9z = -23.6

Divide each side by '-2.9'.
z = 8.137931034

Simplifying
z = 8.137931034