Question

When the distributive property is used to solve the equation 3[x+5]=5x-7, what could the next step be?

Answer 1

x = 11

Explanation:

The given expression is :

3[x+5]=5x-7

The distributive property is :

a(b+c) = ab+ac

Using the above property on LHS

3[x+5] = 3x + 3(5)

= 3x + 15

So,

3x+15 = 5x-7

Arranging like terms,

15+7 = 5x -3x

22 = 2x

x = 11

So, the value of x is 11.