Answer:
box 1, 4 and 5 are correct
Step-by-step explanation:
Box 1 is correct if you simplify the equation by multiplying both sides by 4. When you multiply the left side by 4 you end up with 56 + 8x since 4 times [tex]\frac{1}{4}[/tex] equals 1. The right side becomes 4 x 20 = 80. So 56 + 8X = 80. If you continue to solve for X, you first have to subtract 56 from both sides of the equal sign which looks like this: 56 - 56 + 8X = 80 - 56 which reduces down to 8X = 24. Dividing both sides by 8 then reduces that equation down to X = 3.
Box 4 is also correct. When you have an equation like [tex]\frac{1}{4}[/tex] (8x + 56), you have to multiple both numbers on the inside of the parentheses by the number on the outside of the parentheses. So the equation is ([tex]\frac{1}{4}[/tex] X 8x) + ([tex]\frac{1}{4}[/tex] X 56) which results in 2x + 14. The right side of the equal sign does not change so now you have
2x + 14 = 20. To get rid of the 14 on the left, you subtract 14 from both sides.
2x + 14 - 14 = 20 - 14. On the left, 14-14=0 so you end up with just 2x. On the right 20-14=6. So now you have the equation 2x = 6. If you continue to solve for x, you divide both sides of the equal sign by 2. This will give you x = 3. Same as what you get by solving for x in Box 1 above.
Box 5 is also correct. As you see above when you solve for X in both answers above, X = 3.
