# Question #05787

Jan 14, 2018

$x + 2 = \frac{7}{8} \times x - 15$

#### Explanation:

Probably the question is :
What would be the equation for : Two more than a certain number is 15 less than the product of 7/8 and the number?

Let the number be $x$, then

Two more than the number will be $x + 2$

The product of 7/8 and the number will be $\frac{7}{8} \times x$

And 15 less than the product of 7/8 and the number will be :

$\frac{7}{8} \times x - 15$

Therefore according to given statement, the equation will be:

$x + 2 = \frac{7}{8} \times x - 15$

Solving it:

$\implies x - \frac{7}{8} x = - 15 - 2 = - 17$

$\implies x \times \frac{8}{8} - \frac{7}{8} x = - 17$

$\implies \frac{1}{8} x = - 17$

$\implies x = - 17 \times 8$

$\implies x = - 136$