-2.6(a+16)=2.4(a+19)

Solution for -2.6(a+16)=2.4(a+19) equation:

Simplifying
-2.6(a + 16) = 2.4(a + 19)

Reorder the terms:
-2.6(16 + a) = 2.4(a + 19)
(16 * -2.6 + a * -2.6) = 2.4(a + 19)
(-41.6 + -2.6a) = 2.4(a + 19)

Reorder the terms:
-41.6 + -2.6a = 2.4(19 + a)
-41.6 + -2.6a = (19 * 2.4 + a * 2.4)
-41.6 + -2.6a = (45.6 + 2.4a)

Solving
-41.6 + -2.6a = 45.6 + 2.4a

Solving for variable 'a'.

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

Add '-2.4a' to each side of the equation.
-41.6 + -2.6a + -2.4a = 45.6 + 2.4a + -2.4a

Combine like terms: -2.6a + -2.4a = -5a
-41.6 + -5a = 45.6 + 2.4a + -2.4a

Combine like terms: 2.4a + -2.4a = 0.0
-41.6 + -5a = 45.6 + 0.0
-41.6 + -5a = 45.6

Add '41.6' to each side of the equation.
-41.6 + 41.6 + -5a = 45.6 + 41.6

Combine like terms: -41.6 + 41.6 = 0.0
0.0 + -5a = 45.6 + 41.6
-5a = 45.6 + 41.6

Combine like terms: 45.6 + 41.6 = 87.2
-5a = 87.2

Divide each side by '-5'.
a = -17.44

Simplifying
a = -17.44