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

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

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

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

Reorder the terms:
-6 + 2a = 6 + 5 + -2a + 4b + 2b

Combine like terms: 6 + 5 = 11
-6 + 2a = 11 + -2a + 4b + 2b

Combine like terms: 4b + 2b = 6b
-6 + 2a = 11 + -2a + 6b

Solving
-6 + 2a = 11 + -2a + 6b

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 + 2a = 11 + -2a + 2a + 6b

Combine like terms: 2a + 2a = 4a
-6 + 4a = 11 + -2a + 2a + 6b

Combine like terms: -2a + 2a = 0
-6 + 4a = 11 + 0 + 6b
-6 + 4a = 11 + 6b

Add '6' to each side of the equation.
-6 + 6 + 4a = 11 + 6 + 6b

Combine like terms: -6 + 6 = 0
0 + 4a = 11 + 6 + 6b
4a = 11 + 6 + 6b

Combine like terms: 11 + 6 = 17
4a = 17 + 6b

Divide each side by '4'.
a = 4.25 + 1.5b

Simplifying
a = 4.25 + 1.5b