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

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

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

\frac{1}{3} x + \frac{1}{4} = \frac{2}{1} (\frac{3}{4} x + 1)

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

\frac{1}{3} x + \frac{1}{4} = \frac{2}{1} (\frac{3}{4} x + 1)

Expand

\frac{2}{1} (\frac{3}{4} x + 1) : \frac{3}{2} x + 2

\frac{1}{3} x + \frac{1}{4} = \frac{3}{2} x + 2

Move

\frac{1}{4}

to the right side

\frac{1}{3} x = \frac{7}{4} + \frac{3}{2} x

Move

\frac{3}{2} x

to the left side

- \frac{7}{6} x = \frac{7}{4}

Multiply both sides by

6

- 7 x = \frac{21}{2}

Divide both sides by

- 7

x = - \frac{3}{2}

3 x - 3 = x - 19

\frac{3}{2} x + 2 = 11

9 x^{4} + 3 x^{3} - 30 x^{2} + 6 x + 12

6 4^{\frac{4}{6}}

x^{2} - 7 x + 10 < 0

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