Solving And Checking Equations In math there are many different types of equations to solve and check. Some of them are easy and some are hard but all of them have some steps that need to be followed. To solve the problem 2(7x-4)-4(2x-6)=3x+31 you must follow many steps. The first thing you will do is use the distributive property to take away the parentheses. When you use the distributive property, your equation will be 14x-8-8x+24=3x+31. Then you have to combine like terms. Now that you've combined, your equation will be 6x+16=3x+31. The next step is to subtract 3x from both sides. Now your equation will be 3x+16=31. The next step is to subtract 16 from both sides. Your equation has been reduced to 3x=15. The last step is to divide both sides by 3 and your answer is x=5. There are also many steps needed to check a problem. First, you rewrite the problem. Under that you write the problem substituting all the x's with 5. Next, you evaluate the problem left of the equal sign. Then you evaluate the right of the equal sign. If the answers are both the same, it means you solved the problem right so you put a check mark next to it. That is how you solve and check this type of equation. ...