Answer:
x = -2
Explanation:
1) Distribute
4(x+5)=6(x+4)
4x+20=6(x+4)
2) Distribute
4x+20=6(x+4)
4x+20=6x+24
3) Subtract 20 from both sides
4x+20=6x+24
4x+20-20=6x+24-20
4) Simplify
- Subtract the numbers
4x+20-20=6x+24-20
4x=6x+24-20
- Subtract the numbers
4x = 6x + 24 - 20
4x = 6x + 4
5) Subtract 6x from both sides
4x = 6x + 4
4x - 6x = 6x + 4 - 6x
6) Simplify
- Combine like terms
4x-6x = 6x + 4 - 6x
-2x = 6x + 4 - 6x
- Combine like terms
-2x = 6x + 4 - 6x
-2x = 4
7) Divide both sides by the same factor
-2x = 4
-2x/-2 = 4/-2
8) Simplify
- Cancel terms that are in both the numerator and denominator
-2x/-2 = 4/-2
x = 4/-2
- Divide the numbers
x = 4/-2
x = -2