Simplify the expression by distributing and combining like terms:
-2(x-3) + 4(x+7). pleaseee does anyone know the answer?
2007-12-16 17:59:14 · 22 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
-2(x-3)+4(x+7)
= -2x + 6 + 4x + 28
= 2x + 34
2007-12-16 18:03:29 · answer #1 · answered by riZi 3 · 0⤊ 1⤋
Okay, start by distributing the -2 and 4.
Since the -2 is outside the parentheses, multiply the -2 by each of the terms inside.
So:
-2(x-3)
(-2 * x) - (-2) (3)
and you get:
-2x - (-6) which is the same thing as -2x + 6
Now for the other part.
4(x+7)
Distribute the 4.
(4*x) + (4 * 7)
4x + 28
Now add the two because that's what the problem says.
-2x+6 + 4x+28
You can NEVER combine two terms that have different variables. This means you can't add -2x and 28 because -2 is being multiplied by "x" and 28 isn't.
Both -2 and 4 are being multiplied by "x" so you can add the two.
-2x + 4x = 2x
So now you have 2x + 6 + 28
Now it's simple addition of 6 and 28, which is 34.
So your final answer is 2x + 34
2007-12-16 18:07:34 · answer #2 · answered by Katie M 2 · 0⤊ 3⤋
multiply the (x-3) by -2, do the same on the other side 4 times (x+7) = -2x+6+4x+28=. combine like terms...2x+34
2007-12-16 18:17:45 · answer #3 · answered by angela 3 · 0⤊ 1⤋
All you need to do is to distribute each one...so one the first one -2 * x is going to give you -2x while -2*-3 will give you a positive six so you end up with -2x+6 and when you distribute the second set you come up with 4x +28...after that combine like terms -2x+4x will give you 2x while 28+6 will give you 34...so your final would be 2x+34...hope this helps:)
2007-12-16 18:04:30 · answer #4 · answered by Confused 2 · 0⤊ 1⤋
-2(x-3) + 4(x+7)
= -2x + 6 + 4x + 28
= 2x + 34
2007-12-16 18:10:48 · answer #5 · answered by An ESL Learner 7 · 0⤊ 0⤋
-2(x-3) + 4(x+7)
= -2x +6 + 4x + 28
= 2x + 34
2007-12-16 18:04:05 · answer #6 · answered by Anonymous · 0⤊ 0⤋
2x+3=4x-7. Easy. First, Subtract --->2x<---- from 4x. Making the equation look like this: 3=4x-7. Bring the 2x under the 4x and solve. Making it 2x. Now the equation looks like: 3=2x-7. Now you take -7 and add it under 3. Now the equation is 10=2x. Then you will divide 10 with 2x. What is 10/2 ? The answer is X= 5.
2016-04-09 21:13:48 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Well, you multiply the -2 and the 4 to the terms in the parentheses.
You get...
(-2)(x)+(-2)(-3)+(4)(x)+(4)(7)
You are left with...
-2x+6+4x+28
Now you add like terms to get...
2x+34
You can simplify it further by factoring out the 2 to get...
2(x+17)
There you go!
2007-12-16 18:03:54 · answer #8 · answered by Illiniguy 2 · 0⤊ 1⤋
-2(x-3) + 4(x+7)= -2x+6+4x+28=2x+34
2007-12-16 18:04:07 · answer #9 · answered by c.u.t.e_m.!.r.0 m 2 · 0⤊ 1⤋
-2(x-3)+4(x+7) = -2x+6+4x+28 = 2x+34
2007-12-16 18:03:33 · answer #10 · answered by Jaco W 3 · 0⤊ 1⤋