Question

Solve the equation : $\frac{17(2-x)-5(x+12)}{1-7x}=8$

• A. $2$
• B. $4$
• C. $1$
• D. $5$

Answer 1

The correct option is C $1$

We have : $\frac{17(2-x)-5(x+12)}{1-7x}=8$

Multiplying both sides of the above equation $(1-7x)$, we have :

$\frac{17(2-x)-5(x+12)}{1-7x}(1-7x)=8(1-7x)$

$17(2-x)-5(x+12)=8(1-7x)$

$34-17x-5x-60=8-56x$

$-22x-26=8-56x$

$-22x+56x=8+26$ (Transposing 56x and 26)

$34x=34$

$\frac{34x}{34}=\frac{34}{34}$ (Dividing by 34 both sides)

$x=\frac{34}{34}$

$x=1$

Thus, $x=1$ is the solution of the given equation.