2(5-2)=4a+13-6a

Solution for 2(5-2)=4a+13-6a equation:

Simplifying
2(5 + -2) = 4a + 13 + -6a

Combine like terms: 5 + -2 = 3
2(3) = 4a + 13 + -6a

Multiply 2 * 3
6 = 4a + 13 + -6a

Reorder the terms:
6 = 13 + 4a + -6a

Combine like terms: 4a + -6a = -2a
6 = 13 + -2a

Solving
6 = 13 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
6 + 2a = 13 + -2a + 2a

Combine like terms: -2a + 2a = 0
6 + 2a = 13 + 0
6 + 2a = 13

Add '-6' to each side of the equation.
6 + -6 + 2a = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 13 + -6
2a = 13 + -6

Combine like terms: 13 + -6 = 7
2a = 7

Divide each side by '2'.
a = 3.5

Simplifying
a = 3.5