2(1.9a-3.8)=13.3a-5.7

Solution for 2(1.9a-3.8)=13.3a-5.7 equation:

Simplifying
2(1.9a + -3.8) = 13.3a + -5.7

Reorder the terms:
2(-3.8 + 1.9a) = 13.3a + -5.7
(-3.8 * 2 + 1.9a * 2) = 13.3a + -5.7
(-7.6 + 3.8a) = 13.3a + -5.7

Reorder the terms:
-7.6 + 3.8a = -5.7 + 13.3a

Solving
-7.6 + 3.8a = -5.7 + 13.3a

Solving for variable 'a'.

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

Add '-13.3a' to each side of the equation.
-7.6 + 3.8a + -13.3a = -5.7 + 13.3a + -13.3a

Combine like terms: 3.8a + -13.3a = -9.5a
-7.6 + -9.5a = -5.7 + 13.3a + -13.3a

Combine like terms: 13.3a + -13.3a = 0.0
-7.6 + -9.5a = -5.7 + 0.0
-7.6 + -9.5a = -5.7

Add '7.6' to each side of the equation.
-7.6 + 7.6 + -9.5a = -5.7 + 7.6

Combine like terms: -7.6 + 7.6 = 0.0
0.0 + -9.5a = -5.7 + 7.6
-9.5a = -5.7 + 7.6

Combine like terms: -5.7 + 7.6 = 1.9
-9.5a = 1.9

Divide each side by '-9.5'.
a = -0.2

Simplifying
a = -0.2