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Solve the equation for the variable. Make sure your answer is in simplest form.

[tex]30x + 18 = 35 - 4x[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.​

Solve the equation for the variable Make sure your answer is in simplest formtex30x 18 35 4xtextexx frac texEnter the numbers that belong class=

Respuesta :

Answer:

[tex]x = \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]30x+18=35−4x[/tex]

First of all using the addition property add 4x to both sides

That's

[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]

Divide both sides by 34

That's

[tex] \frac{34x}{34} = \frac{17}{34} [/tex]

We have the final answer as

[tex]x = \frac{1}{2} [/tex]

Hope this helps you