Question

Solve 9x – 5 = (16x + 60)Select one of the equations above and explain two different ways that you could go about solvingit.

Answer 1

$9x-5=\frac{1}{4}(16x+60)$

To solve the equation you should separate x on one side and the number on the other side, then make the coefficient of x = 1

Let us do that

Multiply the bracket by 1/4 first

$\frac{1}{4}(16x+60)=\frac{1}{4}(16x)+\frac{1}{4}(60)=4x+15$

So the equation will be

9x - 5 = 4x + 15

Add 5 to both sides to move 5 from the left hand to the right hand

9x - 5 + 5 = 4x + 15 + 5

9x = 4x + 20

Now subtract 4x from both sides to move x