Question

How many solutions are in 4(x-5)=3x+7

Answer 1

1 solution

This is an equation in only 1 variable (x ) thus will have only one solution

Solving to illustrate

4(x - 5) = 3x + 7 ( distribute left side )

4x - 20 = 3x + 7 ( subtract 3x from both sides )

4x - 3x - 20 = 7

x - 20 = 7 ( add 20 to both sides )

x = 7 + 20 = 27 ( one solution )

Answer 2

This is a linear equation so it has only one solution.


`4(x - 5) = 3x + 7`
Expand bracket to get


`4x-20=3x+7`
Group like terms to obtain,


`4x - 3x = 7 + 20`

`x = 27`
This is the only solution