How To Add Fractions With Brackets

[ silence ] >> speaker 1: this is your math gal julie harland. please visit my website

How To Add Fractions With Brackets, at your math gal dot com. where all of my videos are organized by topic. this is the first video

in a series of videos solving equations with parentheses. so we're going to do this problem right here. alright. any time you solve an equation you want to begin by simplifying each side of the equation.

and so we have to do the distributive property. on the left side of the equation as well. [inaudible] on the on the right side of the equation because there's parentheses

on both sides with a number in front. so we've got 6 times x. 6x minus 6 times 2 is 12. and on this other side we have 3 times x. plus 3 times 2. and now we have an equation without parentheses. so we also have each

side simplified. we can't combine like terms. so at this point we want to put the variables on one side and the constants on the other. so let's go ahead with the variables on the left by subtracting 3x

from both sides. which means i'll have 6x minus 3x. or 3x on the left hand side and on the right hand side how bout we get our constants so we'll add 12 to both sides. so we'll do this at the same step here.

you can take 2 steps to do that. first subtract 3x and then after that you could add 12. alright but i am doing it all at once. 6 plus 12 is 18. and so i have 3x=18.

and we want to divide by 3 to find out what x equals. and so we get x=6. alright you want to make sure that's the correct answer. so our next step is to check it. alright so we're going

to check to see is x=6 is the correct solution. so we will plug in 6 for x. and then we're only going to simplify one side at a time. to take the left hand side and use the order of operations.

which means we simplify inside parentheses first. so that will be 6 times 4. which is 24. alright now let's do the right hand side. we'll put in 6 for x over here. so. again.

we need to do order you don't do the distributive property when you're simplifying you do the order you can go ahead and do whatever's inside the so that's 3 times 8. which will get me 24 as well. the reason we use the

distributive property is when we're in algebra. like this 3 times x plus 2. you can't simplify x plus 2 any further. so that's why you need the distributive property to get rid of the parentheses. alright so in any case we got

the same number on both sides which means our solution up here is correct. so we could write our answer using set notation. you could put the solution in braces like this, that's the formal way. and so that is the correct

answer to this equation.