.6(a-4)+6=2(5a+2)

Solution for .6(a-4)+6=2(5a+2) equation:

Simplifying
0.6(a + -4) + 6 = 2(5a + 2)

Reorder the terms:
0.6(-4 + a) + 6 = 2(5a + 2)
(-4 * 0.6 + a * 0.6) + 6 = 2(5a + 2)
(-2.4 + 0.6a) + 6 = 2(5a + 2)

Reorder the terms:
-2.4 + 6 + 0.6a = 2(5a + 2)

Combine like terms: -2.4 + 6 = 3.6
3.6 + 0.6a = 2(5a + 2)

Reorder the terms:
3.6 + 0.6a = 2(2 + 5a)
3.6 + 0.6a = (2 * 2 + 5a * 2)
3.6 + 0.6a = (4 + 10a)

Solving
3.6 + 0.6a = 4 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
3.6 + 0.6a + -10a = 4 + 10a + -10a

Combine like terms: 0.6a + -10a = -9.4a
3.6 + -9.4a = 4 + 10a + -10a

Combine like terms: 10a + -10a = 0
3.6 + -9.4a = 4 + 0
3.6 + -9.4a = 4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -9.4a = 4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -9.4a = 4 + -3.6
-9.4a = 4 + -3.6

Combine like terms: 4 + -3.6 = 0.4
-9.4a = 0.4

Divide each side by '-9.4'.
a = -0.04255319149

Simplifying
a = -0.04255319149