Question

Find x step by step.
this question is from 8th grade​

Answer 1

$\longrightarrow{\blue{}}$ $\frac{2x - 3}{4x + 5} = \frac{1}{3}$

Cross multiply.

$\longrightarrow{\blue{}}$ $3(2x - 3) = 1(4x + 5)$

$\longrightarrow{\blue{}}$ $6x - 9 = 4x + 5$

Collect like terms.

$\longrightarrow{\blue{}}$ $6x - 4x = 5 + 9$

$\longrightarrow{\blue{}}$ $2x = 14$

Dividing both sides by $2$gives us

$\longrightarrow{\blue{}}$ $x = 7$

Therefore, the value of $x$ is $\boxed{ 7 }$.

To verify:

$\longrightarrow{\blue{}}$ $\frac{2 \times 7 - 3}{4 \times 7 + 5} = \frac{1}{3}$

$\longrightarrow{\blue{}}$ $\frac{14 - 3}{28 + 5} = \frac{1}{3}$

$\longrightarrow{\blue{}}$ $\frac{11}{33} = \frac{1}{3}$

$\longrightarrow{\blue{}}$ $\frac{1}{3} = \frac{1}{3}$

$\longrightarrow{\blue{}}$ L. H. S. = R. H. S.

Hence verified.