Add the integers: -5 + 3
When adding integers first decided what kind of numbers you have: two positives, two negatives, or one of each. In this problem, you have one of each. When you have one of each you subtract the two numbers and take the sign of the larger number. So 5 - 3 is 2. Since 5 is bigger than 3 we have more negatives so our answer is -2.
Add the fractions: 1/2 + 1/4.
In order to add fractions you first have to find a common denominator. The denominators here are 2 and 4. Think of a number that both 2 and 4 go into. 4 is the easiest. To change the 2 to a 4 you must multiply the denominator and the numerator by 2 because whatever you do to the top you have to do to the bottom. So 1/2 becomes 2/4. Now add 2/4 and 1/4 by adding the numerators. So 1 + 2 makes 3. The denominator remains the same. So the answer is 3/4. Since there are no common factors for 3 or 4 besides 1 we cannot reduce this fraction.
Solve the equation for x: 2x + 5x - 6 = 6x + 4
To solve this equation you have to follow the steps of solving equations. First, you need to combine like terms. So you would combine 2x and 5x to make 7x. Your equation is now 7x - 6 = 6x + 4. Then you need to get the variable on the same side. So you will subtract 6x from both sides. Which will leave you with x - 6 = 4. Now you will get the variable by itself by adding 6 to both sides. So your answer will be 10. If you pug 10 into the original equation for x you will see that 10 is the correct answer.