5-0.6(a-17)=0.9(a-17)

Solution for 5-0.6(a-17)=0.9(a-17) equation:

Simplifying
5 + -0.6(a + -17) = 0.9(a + -17)

Reorder the terms:
5 + -0.6(-17 + a) = 0.9(a + -17)
5 + (-17 * -0.6 + a * -0.6) = 0.9(a + -17)
5 + (10.2 + -0.6a) = 0.9(a + -17)

Combine like terms: 5 + 10.2 = 15.2
15.2 + -0.6a = 0.9(a + -17)

Reorder the terms:
15.2 + -0.6a = 0.9(-17 + a)
15.2 + -0.6a = (-17 * 0.9 + a * 0.9)
15.2 + -0.6a = (-15.3 + 0.9a)

Solving
15.2 + -0.6a = -15.3 + 0.9a

Solving for variable 'a'.

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

Add '-0.9a' to each side of the equation.
15.2 + -0.6a + -0.9a = -15.3 + 0.9a + -0.9a

Combine like terms: -0.6a + -0.9a = -1.5a
15.2 + -1.5a = -15.3 + 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0
15.2 + -1.5a = -15.3 + 0.0
15.2 + -1.5a = -15.3

Add '-15.2' to each side of the equation.
15.2 + -15.2 + -1.5a = -15.3 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + -1.5a = -15.3 + -15.2
-1.5a = -15.3 + -15.2

Combine like terms: -15.3 + -15.2 = -30.5
-1.5a = -30.5

Divide each side by '-1.5'.
a = 20.33333333

Simplifying
a = 20.33333333