0.5a+3=0.4a+0.10

Solution for 0.5a+3=0.4a+0.10 equation:

Simplifying
0.5a + 3 = 0.4a + 0.10

Reorder the terms:
3 + 0.5a = 0.4a + 0.10

Reorder the terms:
3 + 0.5a = 0.10 + 0.4a

Solving
3 + 0.5a = 0.10 + 0.4a

Solving for variable 'a'.

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

Add '-0.4a' to each side of the equation.
3 + 0.5a + -0.4a = 0.10 + 0.4a + -0.4a

Combine like terms: 0.5a + -0.4a = 0.1a
3 + 0.1a = 0.10 + 0.4a + -0.4a

Combine like terms: 0.4a + -0.4a = 0.0
3 + 0.1a = 0.10 + 0.0
3 + 0.1a = 0.10

Add '-3' to each side of the equation.
3 + -3 + 0.1a = 0.10 + -3

Combine like terms: 3 + -3 = 0
0 + 0.1a = 0.10 + -3
0.1a = 0.10 + -3

Combine like terms: 0.10 + -3 = -2.9
0.1a = -2.9

Divide each side by '0.1'.
a = -29

Simplifying
a = -29