4 over 3x -1 = 8 over 5x + 6 cross multiply to solve

1 answer

To solve the equation, you can cross multiply:

4 over 3x - 1 = 8 over 5x + 6

In cross multiplication, you multiply the numerator of the left side by the denominator of the right side, and vice versa. This can be expressed as:

(4)(5x + 6) = (8)(3x - 1)

Now, let's simplify the equation:

20x + 24 = 24x - 8

Next, we can rearrange the equation to isolate the variables:

20x - 24x = -8 - 24

-4x = -32

Finally, divide both sides by -4 to find the value of x:

x = -32 / -4

x = 8

So, the solution to the equation is x = 8.