14-0.4(a-18)=0.6(a-18)

Solution for 14-0.4(a-18)=0.6(a-18) equation:

Simplifying
14 + -0.4(a + -18) = 0.6(a + -18)

Reorder the terms:
14 + -0.4(-18 + a) = 0.6(a + -18)
14 + (-18 * -0.4 + a * -0.4) = 0.6(a + -18)
14 + (7.2 + -0.4a) = 0.6(a + -18)

Combine like terms: 14 + 7.2 = 21.2
21.2 + -0.4a = 0.6(a + -18)

Reorder the terms:
21.2 + -0.4a = 0.6(-18 + a)
21.2 + -0.4a = (-18 * 0.6 + a * 0.6)
21.2 + -0.4a = (-10.8 + 0.6a)

Solving
21.2 + -0.4a = -10.8 + 0.6a

Solving for variable 'a'.

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

Add '-0.6a' to each side of the equation.
21.2 + -0.4a + -0.6a = -10.8 + 0.6a + -0.6a

Combine like terms: -0.4a + -0.6a = -1a
21.2 + -1a = -10.8 + 0.6a + -0.6a

Combine like terms: 0.6a + -0.6a = 0.0
21.2 + -1a = -10.8 + 0.0
21.2 + -1a = -10.8

Add '-21.2' to each side of the equation.
21.2 + -21.2 + -1a = -10.8 + -21.2

Combine like terms: 21.2 + -21.2 = 0.0
0.0 + -1a = -10.8 + -21.2
-1a = -10.8 + -21.2

Combine like terms: -10.8 + -21.2 = -32
-1a = -32

Divide each side by '-1'.
a = 32

Simplifying
a = 32