Question

solve the following linear equation of ​

Answer 1

Answer:

$\bold\red{x=8}$

Step-by-step explanation:

The given linear equation is :-

$\frac{5x - 4}{8} - \frac{x - 3}{5} = x + 6$

Taking the LCM of denominator on LHS and solving,

we get,

$= > \frac{5(5x - 4) - 8(x - 3)}{8 \times 5} = \frac{x + 6}{4} \\ \\ = > \frac{25x - 20 - 8x + 24}{40} = \frac{x + 6}{4} \\ \\ = > \frac{17x + 4}{40} = \frac{x + 6}{4}$

Doing cross multiplication, we get,

$= > 4(17x + 4 )= 40(x + 6) \\ \\ = > 68x + 16= 40x + 240 \\ \\ = > 68x - 40x = 240 - 16\\ \\ = > 28x = 224 \\ \\ = > x = \frac{ 224}{28} \\ \\ = > x = 8$

Hence,

x = 8