Question

What is 7-3x=x-4(2 + x )

Answer 1

from what my calculator is saying, there are no values of x that make the equation true. so no solution. unless of course someone smarter finds it if there is one I mean.

Answer 2

No solution (0= -15)

Explanation:

1. Rearrange the terms

7-3x=x-4(2+x)

-3x+7=x-4(2+x)

2. Rearrange again

-3x+7=x-4(2+x)

-3x+7=x-4x-8

3. Distribute

-3x+7=x-4(x+2)

-3x+7=x-4x-8

4. Combine like terms

-3x+7=x-4x-8

-3x+7=-3x-8

5. Subtract 7 frome both sides

-3x+7=-3x-8

-3x+7-7=-3x-8-7

6.Simplify

-3x=-3x-15

7. Add 3x to both sides NOT -3x, 3x!

-3x=-3x-15

-3x+3x=-3x-15+3x

8. Simplify

0= -15, therefore it's a no solution