-2.4(a+1.5)=-0.8(a+19)

Solution for -2.4(a+1.5)=-0.8(a+19) equation:

Simplifying
-2.4(a + 1.5) = -0.8(a + 19)

Reorder the terms:
-2.4(1.5 + a) = -0.8(a + 19)
(1.5 * -2.4 + a * -2.4) = -0.8(a + 19)
(-3.6 + -2.4a) = -0.8(a + 19)

Reorder the terms:
-3.6 + -2.4a = -0.8(19 + a)
-3.6 + -2.4a = (19 * -0.8 + a * -0.8)
-3.6 + -2.4a = (-15.2 + -0.8a)

Solving
-3.6 + -2.4a = -15.2 + -0.8a

Solving for variable 'a'.

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

Add '0.8a' to each side of the equation.
-3.6 + -2.4a + 0.8a = -15.2 + -0.8a + 0.8a

Combine like terms: -2.4a + 0.8a = -1.6a
-3.6 + -1.6a = -15.2 + -0.8a + 0.8a

Combine like terms: -0.8a + 0.8a = 0.0
-3.6 + -1.6a = -15.2 + 0.0
-3.6 + -1.6a = -15.2

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -1.6a = -15.2 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -1.6a = -15.2 + 3.6
-1.6a = -15.2 + 3.6

Combine like terms: -15.2 + 3.6 = -11.6
-1.6a = -11.6

Divide each side by '-1.6'.
a = 7.25

Simplifying
a = 7.25