First, distribute the negative sign in the first term and distribute the negative sign in the third term:

-4x - 8 - 15x + 3 = -14 + 7x

Next, combine like terms on both sides of the equation:

-19x - 5 = -14 + 7x

Add 19x to both sides of the equation to isolate the variable terms on one side:

-5 = 19x - 14 + 7x

Combine like terms on the right side of the equation:

-5 = 26x - 14

Add 14 to both sides of the equation:

9 = 26x

Finally, divide by 26 to solve for x:

x = 9/26