Question

7x-2=8-x solve the equation and check the result

Answer 1

$Given \: simple \: equation :$

$7x - 2 = 8 - x$

/* Add bothsides of the equation by x , we get */

$\implies 7 x + x - 2 = 8 - x + x$

$\implies 8x - 2 = 8$

$\implies 8 x = 8 + 2$

$\implies 8x = 10$

$\implies x = \frac{10}{8}$

$\green {\implies x = \frac{5}{4}}$

Verification:

$Put \: x = \frac{5}{4} \: in \: given \: equation$

$LHS = 7x - 2$

$= 7 \times \frac{5}{4} - 2$

$= \frac{35}{4} - 2$

$= \frac{ 35 - 8}{4}$

$= \frac{27}{4} \: --(1)$

$RHS = 8 - x$

$= 8 - \frac{5}{4}$

$= \frac{32 - 5 }{4}$

$= \frac{27}{4} \: --(2)$

Therefore.,

$LHS = RHS$

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