Question

How many solutions are there to the equation below 3x-10(x-2)=13-7x

Answer 1

The equation has only one solution

Explanation:

we have

`x-10(x-2)=13-7x`

Solve for x

Distribute in the left side

Remember that

`(-1)(-1)=+1`

`x-10x+20=13-7x`

Combine like terms in the left side

`-9x+20=13-7x`

Adds 9x both sides

`20=13-7x+9x`

`20=13+2x`

Subtract 13 both sides

`20-13=2x`

`7=2x`

Divide by 2 both sides

`3.5=x`

Rewrite

`x=3.5`

Therefore

The equation has only one solution