4a+3=10-a

Solution for 4a+3=10-a equation:

Simplifying
4a + 3 = 10 + -1a

Reorder the terms:
3 + 4a = 10 + -1a

Solving
3 + 4a = 10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
3 + 4a + a = 10 + -1a + a

Combine like terms: 4a + a = 5a
3 + 5a = 10 + -1a + a

Combine like terms: -1a + a = 0
3 + 5a = 10 + 0
3 + 5a = 10

Add '-3' to each side of the equation.
3 + -3 + 5a = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 10 + -3
5a = 10 + -3

Combine like terms: 10 + -3 = 7
5a = 7

Divide each side by '5'.
a = 1.4

Simplifying
a = 1.4