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

The answer to (x+1)/4 =3-(x+4)/3 is x= 17/7

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(x+1)/4 =3-(x+4)/3

\frac{x + 1}{4} = 3 - \frac{x + 4}{3}

x = \frac{17}{7}

Decimal Notation

x = 2.42857 \dots

Solution steps

\frac{x + 1}{4} = 3 - \frac{x + 4}{3}

Multiply by LCM

3 (x + 1) = 36 - 4 (x + 4)

Expand

3 (x + 1) : 3 x + 3

Expand

36 - 4 (x + 4) : - 4 x + 20

3 x + 3 = - 4 x + 20

Move

3

to the right side

3 x = - 4 x + 17

Move

4 x

to the left side

7 x = 17

Divide both sides by

7

x = \frac{17}{7}

- \frac{a}{3} = - 12

\frac{2}{3} \cdot 6

2 \cdot 7

\frac{1}{3} + \frac{3}{2}

5 \geq x

What is the answer to (x+1)/4 =3-(x+4)/3 ?
The answer to (x+1)/4 =3-(x+4)/3 is x= 17/7
Solve for x: (x+1)/4 =3-(x+4)/3
The solution is x= 17/7