Answer:
x=6
Step-by-step explanation:
Let the number be x
Then 4 times a number divided by 3 is 5 more than that number divided by 2 gives the equation:
[tex] \frac{4x}{3} = \frac{x}{2} + 5[/tex]
Multiply through by the LCD, which is 6.
[tex] 6 \times \frac{4x}{3} = 6 \times \frac{x}{2} + 5 \times 6[/tex]
Cancel out to obtain:
[tex] 2 \times 4x =3 \times x + 30[/tex]
[tex]8x = 3x + 30[/tex]
Group similar terms
[tex]8x - 3x = 30[/tex]
Simplify the LHS
[tex]5x = 30[/tex]
Divide both sides by 5 to get:
[tex]x = 6[/tex]
