Answer: x = 6
* = things that have changed or are being changed
Explanation:
1. rearrange terms
*4
4 + 3
* = 5
+ 2
+ 2
0
*3x + 44* = 5x + 2 + 20
2. combine like terms
3 + 44 = *5x + 2* + 20
3 + 44 = *7x* + 20
3. Subtract 4
4 from both sides of the equation
3x + 44 = 7x + 20
3x + 44 *-44* = 7x + 20 *-44*
4. Simplify
(Subtract the numbers)
3x + *44 - 44* = 7x + 20 - 44
3x = 7x + 20 - 44
(Again)
3x = 7x + 20 *- 44*
3x = 7x - 24
5. Subtract 7
from both sides of the equation
3x = 7x - 24
3x *- 7x* = 7x - 24 *- 7x*
6. Combine like terms
*3x - 7x* = 7x - 24 - 7x
*-4x* = 7x - 24 - 7x
(Again)
-4x = *7x* - 24 *- 7x*
-4x = - 24
7. Divide both sides of the equation by the same term
-4x = - 24
[tex]\frac{-4x}{*-4*} = \frac{-24}{*-4*}[/tex]
8. Simplify
(Cancel terms that are in both the numerator and denominator)
[tex]* \frac{-4x}{-4} * = \frac{-24}{-4}[/tex]
*x* = [tex]\frac{-24}{-4}[/tex]
(Divide the numbers)
x = [tex]\frac{-24}{-4}[/tex]
x = 6
