What is the answer to 3x+4(x+1)=x+2(x+3) ?

The answer to 3x+4(x+1)=x+2(x+3) is x= 1/2

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Expand

4 (x + 1) : 4 x + 4

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

Add similar elements:

3 x + 4 x = 7 x

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

Expand

2 (x + 3) : 2 x + 6

7 x + 4 = x + 2 x + 6

Add similar elements:

x + 2 x = 3 x

7 x + 4 = 3 x + 6

Move

4

to the right side

7 x = 3 x + 2

Move

3 x

to the left side

4 x = 2

Divide both sides by

4

x = \frac{1}{2}

6 (x - 3) + 2 x = 4 (2 x + 1) - 22

3 (y + 4) = 5 (y - 8)

- 14 x = - 42

- 49 = - \frac{7}{8} v

3 x + 34 = - 11 x - 22

What is the answer to 3x+4(x+1)=x+2(x+3) ?
The answer to 3x+4(x+1)=x+2(x+3) is x= 1/2
Solve for x: 3x+4(x+1)=x+2(x+3)
The solution is x= 1/2