7(3a-2b)+5b-3(4a+2)=

Solution for 7(3a-2b)+5b-3(4a+2)= equation:

Simplifying
7(3a + -2b) + 5b + -3(4a + 2) = 0
(3a * 7 + -2b * 7) + 5b + -3(4a + 2) = 0
(21a + -14b) + 5b + -3(4a + 2) = 0

Reorder the terms:
21a + -14b + 5b + -3(2 + 4a) = 0
21a + -14b + 5b + (2 * -3 + 4a * -3) = 0
21a + -14b + 5b + (-6 + -12a) = 0

Reorder the terms:
-6 + 21a + -12a + -14b + 5b = 0

Combine like terms: 21a + -12a = 9a
-6 + 9a + -14b + 5b = 0

Combine like terms: -14b + 5b = -9b
-6 + 9a + -9b = 0

Solving
-6 + 9a + -9b = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 9a + 6 + -9b = 0 + 6

Reorder the terms:
-6 + 6 + 9a + -9b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 9a + -9b = 0 + 6
9a + -9b = 0 + 6

Combine like terms: 0 + 6 = 6
9a + -9b = 6

Add '9b' to each side of the equation.
9a + -9b + 9b = 6 + 9b

Combine like terms: -9b + 9b = 0
9a + 0 = 6 + 9b
9a = 6 + 9b

Divide each side by '9'.
a = 0.6666666667 + b

Simplifying
a = 0.6666666667 + b