Question

solve the equation and vverify your result
$\frac{2x - 1}{6} - \frac{x}{8} = 4$
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Answer 1

$\huge\boxed{\bf{Question}}$

solve the equation and vverify your result

$\frac{2x - 1}{6} - \frac{x}{8} = 4$

$\huge\boxed{\mathfrak{Solution}}$

$\sf\rightarrow\frac{2x-1}{6}-\frac{x}{8}=4\\ \sf \rightarrow \frac{4(2x-1)-3x}{24}=4\\ \sf\rightarrow \frac{8x-4-3x}{24}=4\\ \sf\rightarrow 5x-4=24×4\\ \sf\rightarrow 5x-4=96\\ \sf\rightarrow 5x=96+4\\ \sf\rightarrow x=\frac{100}{5}\\ \sf\implies x=20$

$\large\boxed{\sf{\pink{Verification:-}}}$

Put the value of x in equation which is 20

$\sf \frac{2×20-1}{6}-\frac{20}{8}=4\\ \sf\leadsto \frac{40-1}{6}-\frac{20}{8}=4\\ \sf\leadsto \frac{39}{6}-\frac{20}{8}=4\\ \sf\leadsto \frac{39×4-20×3}{24}=4\\ \sf\leadsto \frac{156-60}{24}=4\\ \sf\leadsto \frac{96}{24}=4\\ \sf\implies 4=4$

L.H.S =R.H.S