The two angles given here are supplementary angles, which means that together they add up to 180 degrees. With this information, we can write out the equation x+6x+5=180, or just 7x+5=180. We need to balance both sides of the equation to get x by itself. Subtract 5 from each side to create the equation 7x=175. Then divide each side of the new equation by 7 in order to find 1x. 7x divided by 7 is 1. 175 divided by 7 is 25. Therefore the value of x is 25.