Question

Solving Multi-step
5x-6=3(x-2)​

Answer 1

Hello there! :)

Answer:

`\boxed{x=0}`

Explanation:

distributive property: a(b+c)=ab+ac

Expand form.

3(x-2)

3*x=3

3*2=6

3x-6

5x-6=3x-6

you add by 6 both sides of an equation.

5x-6+6=3x-6+6

add numbers from left/right

5x=3x

subtract 3x both sides of an equation.

5x-3x=3x-3x

simplify.

2x=0

then, you divide by 2 both sides of an equation.

2x/2=0/2

divide numbers from left/right.

0/2=0

`\boxed{x=0}`, which is our final answer.

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

Answer 2

`x=0`

Explanation:

`5x-6=3\left(x-2\right)`

Apply distributive property.

`5x-6=3x-6`

`5x-6+6=3x-6+6`

`5x=3x`

`5x-3x=3x-3x`

`2x=0`

`(2x)/(2)=(0)/(2)`

`x=0`