Solve: $\frac{3 x-2}{2 x+4}=\frac{7}{6}$.

Academic Mathematics NCERT Class 8

Given: Expression: $\frac{3 x-2}{2 x+4}=\frac{7}{6}$.

To do: To solve the expression $\frac{3 x-2}{2 x+4}=\frac{7}{6}$.

Solution:

Given expression: $\frac{3 x-2}{2 x+4}=\frac{7}{6}$

$\Rightarrow 6( 3x-2)=7( 2x+4)$

$\Rightarrow 18x-12=14x+28$

$\Rightarrow 18x-14x=28+12$

$\Rightarrow 4x=40$

$\Rightarrow x=\frac{40}{4}$

$\Rightarrow x=10$

Thus, $x=10$.

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Updated on: 10-Oct-2022

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