3(4x+4)-2(3-x)=48

Solution for 3(4x+4)-2(3-x)=48 equation:

Simplifying
3(4x + 4) + -2(3 + -1x) = 48

Reorder the terms:
3(4 + 4x) + -2(3 + -1x) = 48
(4 * 3 + 4x * 3) + -2(3 + -1x) = 48
(12 + 12x) + -2(3 + -1x) = 48
12 + 12x + (3 * -2 + -1x * -2) = 48
12 + 12x + (-6 + 2x) = 48

Reorder the terms:
12 + -6 + 12x + 2x = 48

Combine like terms: 12 + -6 = 6
6 + 12x + 2x = 48

Combine like terms: 12x + 2x = 14x
6 + 14x = 48

Solving
6 + 14x = 48

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 14x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 48 + -6
14x = 48 + -6

Combine like terms: 48 + -6 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3