Question

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have

Answer 1

`3x-7=4+6+4x \\ 3x-7=10+4x \\ 3x-4x=10+7 \\ -x=17 \\ x=-17`

One solution.

Answer 2

The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Explanation:

Given : Equation 3x − 7 = 4 + 6 + 4x

We have to find the number of solutions of the given equation.

Consider the given equation 3x − 7 = 4 + 6 + 4x

Simplify, we have,

3x − 7 = 10 + 4x

Now subtract 3x both side, we hvae,

-7 = 10 + 4x - 3x

Simplify, we have,

- 7 = 10 + x

Subtract 10 both side, we have,

-7 - 10 = x

x = - 17

Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.