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Solve the equation and simplify your answer. 3x + 4(x + 1) = x + 2(x+3) X = [? ​

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3 votes

Answer:

3x + 4(x + 1) = x + 2(x+3)

3x+4x+4=x+2x+6

7x+4 =3x+6

7x-3x=6-4

4x=2

x =2/4 =1/2

User NewVigilante
by
7.9k points
6 votes

Answer: 1/2

Explanation:

To solve the equation, follow these steps:

1. Distribute (or multiply) the numbers outside the parentheses to the numbers inside the parentheses. This gives us:

3x + 4x + 4 = x + 2x + 6

2. Combine like terms on both sides of the equation. This gives us:

7x + 4 = 3x + 6

3. Subtract 3x from both sides of the equation to isolate the variable term:

7x - 3x + 4 = 3x - 3x + 6

4x + 4 = 6

4. Subtract 4 from both sides of the equation to isolate the constant term:

4x + 4 - 4 = 6 - 4

4x = 2

5. Finally, divide both sides of the equation by 4 to solve for x:

4x/4 = 2/4

x = 1/2

So the solution to the equation is x = 1/2.

User Lovntola
by
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