2.4a-4.2(a+1)=1.1a+10.3

Solution for 2.4a-4.2(a+1)=1.1a+10.3 equation:

Simplifying
2.4a + -4.2(a + 1) = 1.1a + 10.3

Reorder the terms:
2.4a + -4.2(1 + a) = 1.1a + 10.3
2.4a + (1 * -4.2 + a * -4.2) = 1.1a + 10.3
2.4a + (-4.2 + -4.2a) = 1.1a + 10.3

Reorder the terms:
-4.2 + 2.4a + -4.2a = 1.1a + 10.3

Combine like terms: 2.4a + -4.2a = -1.8a
-4.2 + -1.8a = 1.1a + 10.3

Reorder the terms:
-4.2 + -1.8a = 10.3 + 1.1a

Solving
-4.2 + -1.8a = 10.3 + 1.1a

Solving for variable 'a'.

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

Add '-1.1a' to each side of the equation.
-4.2 + -1.8a + -1.1a = 10.3 + 1.1a + -1.1a

Combine like terms: -1.8a + -1.1a = -2.9a
-4.2 + -2.9a = 10.3 + 1.1a + -1.1a

Combine like terms: 1.1a + -1.1a = 0.0
-4.2 + -2.9a = 10.3 + 0.0
-4.2 + -2.9a = 10.3

Add '4.2' to each side of the equation.
-4.2 + 4.2 + -2.9a = 10.3 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -2.9a = 10.3 + 4.2
-2.9a = 10.3 + 4.2

Combine like terms: 10.3 + 4.2 = 14.5
-2.9a = 14.5

Divide each side by '-2.9'.
a = -5

Simplifying
a = -5