Solve for x 7+5x-2=3x-4(3-x) What is x?

3 Answers
Feb 28, 2018

x=8.5

Explanation:

7+5x-2=3x-4(3-x)
7+5x-2=3x-12+4x
2x=17
x=17/2
x=8.5

Feb 28, 2018

x=8.5

Explanation:

5x+5=3x-12+4x
5x+5=7x-12
17=2x
x=8.5

Feb 28, 2018

17/2

Explanation:

Let's take the initial equation:
7 + 5x - 2 = 3x-4(3-x)
We can simplify the left hand side by adding 7 and -2
5x + 5 = 3x-4(3-x):
We can simplify the right hand side by multiplying 3 and -x by -4:
5x + 5 = 3x-12+4x
We can simplify again by adding 3x and -4x:
5 + 5x = 7x-12
Now let's subtract 5 from both sides and subtract 7x from both sides to move all x values to one side of the equation:
(5 + 5x) - 5 = (7x-12) - 5
5x = 7x-17
(5x) - 7x = (7x-17) - 7x
- 2x = -17
Divide both sides by -2 and we have our answer.
x = (-17)/-2
x = 17/2