Question

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

Answer 1

Answer:

The equation has only one solution

Step-by-step 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