Question

How many solutions does the equation have?

12x + 6 = 14(2x – 24) because when simplified we get?

a) 6=-6
a) infinitely many solutions
b) x=-6
b) one solution
c) 6=6
c) no solution

Answer 1

One solution: x =21.6

Explanation:

Equation

12x + 6 = 14(2x – 24) Remove the brackets

Solution

12x + 6 = 28x - 336 Add 336 to both sides.

12x + 6+336 = 28x - 336 Combine

12x + 342 = 28x -336+336

12x + 342 = 28x Subtract 12x from both sides.

12x-12x + 342 = 28x - 12x Combine

342 = 16x Divide by 16

342/16 = 16x/16

21.6=x