Respuesta :

Answer:

[tex]\boxed {\tt x=7}[/tex]

Step-by-step explanation:

We are given the equation

[tex]35=3x+14[/tex]

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.

[tex]35-14=3x+14-14[/tex]

[tex]35-14=3x[/tex]

[tex]21=3x[/tex]

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

[tex]\frac{21}{3} =\frac {3x}{3}[/tex]

[tex]\frac{21}{3}=x[/tex]

[tex]7=x[/tex]

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

[tex]35=3x+14[/tex]

[tex]35=3(7)+14[/tex]

[tex]35=21+14[/tex]

[tex]35=35[/tex]

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

Answer:

x = 7

Step-by-step 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 :)

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