4.6+3a=8a-11

Solution for 4.6+3a=8a-11 equation:

Simplifying
4.6 + 3a = 8a + -11

Reorder the terms:
4.6 + 3a = -11 + 8a

Solving
4.6 + 3a = -11 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
4.6 + 3a + -8a = -11 + 8a + -8a

Combine like terms: 3a + -8a = -5a
4.6 + -5a = -11 + 8a + -8a

Combine like terms: 8a + -8a = 0
4.6 + -5a = -11 + 0
4.6 + -5a = -11

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -5a = -11 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -5a = -11 + -4.6
-5a = -11 + -4.6

Combine like terms: -11 + -4.6 = -15.6
-5a = -15.6

Divide each side by '-5'.
a = 3.12

Simplifying
a = 3.12