5a-2(a-6)=3+4a

Solution for 5a-2(a-6)=3+4a equation:

Simplifying
5a + -2(a + -6) = 3 + 4a

Reorder the terms:
5a + -2(-6 + a) = 3 + 4a
5a + (-6 * -2 + a * -2) = 3 + 4a
5a + (12 + -2a) = 3 + 4a

Reorder the terms:
12 + 5a + -2a = 3 + 4a

Combine like terms: 5a + -2a = 3a
12 + 3a = 3 + 4a

Solving
12 + 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.
12 + 3a + -4a = 3 + 4a + -4a

Combine like terms: 3a + -4a = -1a
12 + -1a = 3 + 4a + -4a

Combine like terms: 4a + -4a = 0
12 + -1a = 3 + 0
12 + -1a = 3

Add '-12' to each side of the equation.
12 + -12 + -1a = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 3 + -12
-1a = 3 + -12

Combine like terms: 3 + -12 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9