3a+4b-(-6-3b)=x

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

Simplifying
3a + 4b + -1(-6 + -3b) = x
3a + 4b + (-6 * -1 + -3b * -1) = x
3a + 4b + (6 + 3b) = x

Reorder the terms:
6 + 3a + 4b + 3b = x

Combine like terms: 4b + 3b = 7b
6 + 3a + 7b = x

Solving
6 + 3a + 7b = x

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 + 3a + -6 + 7b = -6 + x

Reorder the terms:
6 + -6 + 3a + 7b = -6 + x

Combine like terms: 6 + -6 = 0
0 + 3a + 7b = -6 + x
3a + 7b = -6 + x

Add '-7b' to each side of the equation.
3a + 7b + -7b = -6 + -7b + x

Combine like terms: 7b + -7b = 0
3a + 0 = -6 + -7b + x
3a = -6 + -7b + x

Divide each side by '3'.
a = -2 + -2.333333333b + 0.3333333333x

Simplifying
a = -2 + -2.333333333b + 0.3333333333x