Question

Solve for x 4/x-3=5/2x+3 ;x is not equal to zero

Answer 1

Given:

Given expression is, $\frac{4}{x-3}=\frac{5}{2x+3}$.

To find:

We need to find the value of $x$ which is not equal to zero.

Solution:

To find the value of $x$ from the given expression, first we need to cross multiply the terms are simply the result to get value of $x$.

Consider the given expression,

$\Rightarrow\frac{4}{x-3}=\frac{5}{2x+3}$

Doing cross multiplication, we get

$\Rightarrow4(2x+3)=5(x-3)$

Simplifying the above expression, we get

$\Rightarrow8x+12=5x-15$

Rearranging the terms, we get

$\Rightarrow8x-5x=-15-12$

Simplifying the above expression, we get

$\Rightarrow 3x =-27$

Simplifying the above expression, we get

$\Rightarrow x=-9$

Therefore, the value of $x$ is equal to $-9$.