Question

Describe two ways to solve the equation 2(4x-11)=10

Answer 1

2(4x-11) = 10

On dividing 2 on both sides

$\frac{2(4x-11)}{2} = \frac{10}{2}$

$4x-11 = 5$

On Adding 11 on both sides:

$4x-11+11 = 11+5$

$4x = 16$

On dividing both side by 4

$\frac{4x}{4} = \frac{16}{4}$

$x = 4$

Second way is:

We can use distributive property as

$2(4x-11) = 10$

$2*4x- 2*11 = 10$

$8x - 22 = 10$

On Adding 22 on both side

$8x - 22+22 = 10+22$

$8x = 32$

On dividing both side by 8

$\frac{8x}{8} = \frac{32}{8}$

$x = 4$