Question

How many solutions are there to the equation below? 5x + 48 + 7x = 12(x + 4)

Answer 1

5x + 48 + 7x = 12(x + 4)
12x + 48 = 12x + 48
12x - 12x = 48 - 48
0 = 0 (correct)

if ur variables cancel out and ur left with a true statement, then there are infinite solutions <==

Answer 2

The equation has infinite solution.

Explanation:

Given:
`5x+48+7x=12(x+4)`

We are given a linear equation of variable x and solve for x

First we move all x term left side and constant term right side

First we distribute 12 over x+4

5x+48+7x=12x+48

Subtract 12 x both sides

5x+7x-12x+48=48

0+48=48

48=48

At last don't have any x value.

Left hand side and Right hand side is equal to 48

If LHS=RHS then infinite number of solution.

Hence, The equation has infinite solution.