5a-2(a-8)=3+4a

Solution for 5a-2(a-8)=3+4a equation:

Simplifying
5a + -2(a + -8) = 3 + 4a

Reorder the terms:
5a + -2(-8 + a) = 3 + 4a
5a + (-8 * -2 + a * -2) = 3 + 4a
5a + (16 + -2a) = 3 + 4a

Reorder the terms:
16 + 5a + -2a = 3 + 4a

Combine like terms: 5a + -2a = 3a
16 + 3a = 3 + 4a

Solving
16 + 3a = 3 + 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.
16 + 3a + -4a = 3 + 4a + -4a

Combine like terms: 3a + -4a = -1a
16 + -1a = 3 + 4a + -4a

Combine like terms: 4a + -4a = 0
16 + -1a = 3 + 0
16 + -1a = 3

Add '-16' to each side of the equation.
16 + -16 + -1a = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1a = 3 + -16
-1a = 3 + -16

Combine like terms: 3 + -16 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13