Question

Solve
$\frac{4x}{2} - 6 = \frac{x}{3} + 6$
​

Answer 1

Answer:

x = 6

Step-by-step explanation:

$\frac{4x}{2} - 6 = \frac{x}{3} + 6 \\ = > \frac{4x - 12}{2} = \frac{x + 12}{3} \\ = > 3(4x - 12) = 2(x + 12) \\ = > 12x - 36 = 2x + 24 \\ = > 12x - 2x = 24 + 36 \\ = > 10x = 60 \\ = > x = \frac{60}{10} \\ = > x = 6$

Answer 2

$\frac{4x}{2} - 6 = \frac{x}{3} + 6$

/* Add 6 both sides , we get */

$\implies \frac{4x}{2} - 6 + 6 = \frac{x}{3} + 6 + 6$

$\implies \frac{4x}{2} = \frac{x}{3} + 12$

$\implies \frac{4x}{2} - \frac{x}{3} = 12$

$\implies \frac{ 12x - 2x }{6} = 12$

$\implies \frac{ 10x }{6} = 12$

$\implies x = 12 \times \frac{6}{10} \\= \frac{72}{10} \\= 7.2$

Therefore.,

$\red { Value \: of \: x } \green { = 7.2 = \frac{36}{5} }$

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