Question

What value of x makes this equation true? 2x + 3 = 9

Answer 1

the is x would equal to 3

Answer 2

`\boxed {\tt x=3}`

Explanation:

We want to solve for x, therefore we must isolate the variable.

We are given the equation:

`2x+3=9`

3 is being added to 2x. The inverse of addition is subtraction. Subtract 3 from both sides of the equation.

`2x+3-3=9-3`

`2x=9-3`

`2x=6`

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

`(2x)/(2) =(6)/(2)`

`x=(6)/(2)`

`x=3`

Let's check our solution. Plug 3 in for x and solve.

`2x+3=9`

`2(3)+3=9`

`6+3=9`

`9=9`

This checks out, so we know our solution is correct.

The solution to the equation 2x+3=9 is x=3