SOLUTION: what is 3(x-1)+7=7x-2+x

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Question 208333: what is 3(x-1)+7=7x-2+x

Found 2 solutions by algebrapro18, MathTherapy:
Answer by algebrapro18(249) (Show Source):
You can put this solution on YOUR website!
Well distributing the 3 into the (x-1) we get
3x-3+7=7x-2+x

now we combine like terms. To make this a little easier I'm going to rewrite the equation.

3x-3+7=7x-2+x
3x+7-3=7x+x-2

now we can just add like terms:
3x+7-3=7x+x-2
3x+4 = 8x-2

now we want to get x by its self so to do that lets get it on one side of the equation so subtract the 3x from both sides. Its gone on the left and your left with (8-3)x or 5x.

3x+4=8x-2
4 = 5x-2

now we add 2 to both sides.

3x+4 = 5x-2
4+2 = 5x-2+2
6 = 8x

now we divide both sides by 8

6/8 = x which is our answer but we can simplify.

x = 6/8 = 3/4 = 0.75

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

3(x-1)+7=7x-2+x

3x - 3 + 7 = 7x - 2 + x

3x + 4 = 8x - 2

- 5x = - 6

or