-3(x-2)+4=4(x+1)?

First off, you have to get rid of your parenthesis. You would multiple both X and -2 by -3, and you would multiply both X and 1 by 4 to get:

-3X+6+4=4X+4
-3X+10=4X+4
-7X+10=4
-7X= -6
X=6/7

Put the answer back into the original problem to see if our answer is correct.

-3X+6+4=4X+4
-3(6/7)+6+4=4(6/7)+4
-18/7+10=24/7+4

To add fractions, you need to find a common denominator. Since our two fractions already have a 7 on the bottom, we can change the whole numbers to fractions with a 7 on the bottom. To do that, we simply multiply the whole numbers by 7 to get this equation:

-18/7+70/7=24/7+28/7
52/7=52/7

2006-10-09 12:48:53 · answer #1 · answered by Bastet's kitten 6 · 0⤊ 0⤋

Well, it's been a while, but here goes:

1. First I would multiply out the equation to get rid of the parentheses. On the left side, multiply negative 3 by x and by negative 2. On the right side, multiply 4 by x and by 1). This gives you the following:
-3x + 6 + 4 = 4x +4

2. Next I would get all the x's on one side, and the numbers without x's on the other. Add 3x to both sides; then subtract 4 from both sides. This gives you the following:
7x = 6

3. Finally, solve for x by dividing both sides by 7.
x = 6/7 or 0.8571428571...

2006-10-09 19:36:48 · answer #2 · answered by Kristin 2 · 0⤊ 0⤋

-3(x-2)+4 = 4(x+1)
=> -3x + 6 + 4 = 4x + 4
=>4x + 3x = 6
=>7x = 6
=> x = 6/7

2006-10-09 19:42:02 · answer #3 · answered by Mostaque 2 · 0⤊ 0⤋

Do the distributive properties first
-3x + 6 + 4 = 4x + 4
-3x + 10 = 4x + 4
10 = 7x + 4
6 = 7x
x = 6/7

2006-10-09 19:34:38 · answer #4 · answered by PatsyBee 4 · 0⤊ 0⤋

Distributing the factors (-3 and 4) over the parenthesized parts:
-3x+6 + 4 = 4x+4
or: -3x + 10 = 4x + 4

Add 3x to both sides:
10 = 7x + 4
Subtract 4 from both sides:
6 = 7x
Divide both sides by 7:
6/7 = x.

2006-10-09 19:36:01 · answer #5 · answered by Consider This... 3 · 0⤊ 0⤋

10

2006-10-09 19:30:58 · answer #6 · answered by Skate and Destroy 4 · 0⤊ 0⤋

1. Distribute.

-3x + 6 + 4 = 4x + 4

2. Combine on each side.

-3x + 10 = 4x + 4

3. Get variable to one side.

10 = 7x + 4

4. Isolate term with variable.

6 = 7x

5. Divide both sides by the coefficient.

6/7 = x

2006-10-09 19:32:24 · answer #7 · answered by Hopeful Poster 3 · 1⤊ 0⤋

-3x+6+4=4x+4
-3x + 10 = 4x + 4
10 = 7x +4
6 = 7x
x = 6/7

2006-10-09 19:32:05 · answer #8 · answered by DanE 7 · 0⤊ 0⤋

x=6/7

2006-10-09 19:34:38 · answer #9 · answered by Charlie T. 4 · 0⤊ 0⤋

x=6/7

2006-10-09 19:31:44 · answer #10 · answered by chuBBz 2 · 0⤊ 0⤋

22 answers