5a+3=4(a-2)+13

Solution for 5a+3=4(a-2)+13 equation:

Simplifying
5a + 3 = 4(a + -2) + 13

Reorder the terms:
3 + 5a = 4(a + -2) + 13

Reorder the terms:
3 + 5a = 4(-2 + a) + 13
3 + 5a = (-2 * 4 + a * 4) + 13
3 + 5a = (-8 + 4a) + 13

Reorder the terms:
3 + 5a = -8 + 13 + 4a

Combine like terms: -8 + 13 = 5
3 + 5a = 5 + 4a

Solving
3 + 5a = 5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
3 + 5a + -4a = 5 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
3 + 1a = 5 + 0
3 + 1a = 5

Add '-3' to each side of the equation.
3 + -3 + 1a = 5 + -3

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

Combine like terms: 5 + -3 = 2
1a = 2

Divide each side by '1'.
a = 2

Simplifying
a = 2