Question

Solve : | 7x - 18 | = 10

Answer 1

4 and -8/7

hope so you got it

Answer 2

Given :

• the absolute value of 7x-18 is 10

That means :

the value of 7x-18 can be -10

or, the value of 7x-18 can be +10

Solution :

Case 1) when value is negative

7x-18 = -10

$\implies \bold{7x = - 10 + 18} \\ \implies \bold{7x = 8} \\ \implies \bold{x = \frac{8}{7} }$

hence, x = 8/7

Case 2) when the value is positive

7x-18 = 10

$\implies \bold{7x = 10 + 18} \\ \implies \bold{7x = 28} \\ \implies \bold{x = 4}$

x = 4

hence, the value of x can be

• x = 8/7
• x = 4