Question

35=3x+14 could anyone help me fast please I also need to show work!

Answer 1

x = 7

Explanation:

First using the culamtive property lets change how this problem is set up.

35 = 3x + 14

14 + 3x = 35

Now that we have done that we need to subtract or add the common number to both sides.

14 + 3x = 35

- 14 - 14

3x = 21

Now to find our final solution divide both sides by the number next to the variable so in our case 3.

3x / 3 = x

21 / 3 = 7

Now we have our final solution.

x = 7

Hope this helps :)

Answer 2

`\boxed {\tt x=7}`

Explanation:

We are given the equation

`35=3x+14`

We want to solve for x, therefore we must isolate x on one side of the equation.

14 is being added to 3x. The inverse of addition is subtraction. Subtract 14 from both sides of the equation.

`35-14=3x+14-14`

`35-14=3x`

`21=3x`

x is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

`(21)/(3) =\frac {3x}{3}`

`(21)/(3)=x`

`7=x`

Let's check our solution. Plug 7 in for x and solve.

`35=3x+14`

`35=3(7)+14`

`35=21+14`

`35=35`

This checks out, so we know our solution, x=7 is correct.