Question

Solve for X using cross multiplication 4x-3/3 = x+8/2 x= []

Answer 1

x=6

Explanation:

Given the equation:

`(4x-3)/(3)=(x+8)/(2)`

First, cross multiply:

`2(4x-3)=3(x+8)`

Next, open the brackets:

`8x-6=3x+24`

Subtract 3x from both sides of the equation:

`\begin{gathered} 8x-3x-6=3x-3x+24 \\ 5x-6=24 \end{gathered}`

Add 6 to both sides of the equation:

`\begin{gathered} 5x-6+6=24+6 \\ 5x=30 \end{gathered}`

Finally, divide both sides by 5:

`\begin{gathered} (5x)/(5)=(30)/(5) \\ x=(6*5)/(5) \\ x=6 \end{gathered}`

The value of x is 6.