2(4x+6)+3(2x-3)=3

Solution for 2(4x+6)+3(2x-3)=3 equation:

Simplifying
2(4x + 6) + 3(2x + -3) = 3

Reorder the terms:
2(6 + 4x) + 3(2x + -3) = 3
(6 * 2 + 4x * 2) + 3(2x + -3) = 3
(12 + 8x) + 3(2x + -3) = 3

Reorder the terms:
12 + 8x + 3(-3 + 2x) = 3
12 + 8x + (-3 * 3 + 2x * 3) = 3
12 + 8x + (-9 + 6x) = 3

Reorder the terms:
12 + -9 + 8x + 6x = 3

Combine like terms: 12 + -9 = 3
3 + 8x + 6x = 3

Combine like terms: 8x + 6x = 14x
3 + 14x = 3

Add '-3' to each side of the equation.
3 + -3 + 14x = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 3 + -3
14x = 3 + -3

Combine like terms: 3 + -3 = 0
14x = 0

Solving
14x = 0

Solving for variable 'x'.

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

Divide each side by '14'.
x = 0

Simplifying
x = 0