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

The answer to (4x+1)/3 =(x+2)/4 is x= 2/13

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

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

x = \frac{2}{13}

Decimal Notation

x = 0.15384 \dots

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

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

Expand

(4 x + 1) \cdot 4 : 16 x + 4

Expand

3 (x + 2) : 3 x + 6

16 x + 4 = 3 x + 6

Move

4

to the right side

16 x = 3 x + 2

Move

3 x

to the left side

13 x = 2

Divide both sides by

13

x = \frac{2}{13}

\frac{5}{6} x + \frac{1}{5} \leq \frac{1}{30}

x (x - 2) = - x^{2}

(5 x^{4} y^{3})^{3}

∣ 5 x ∣ > - 4

\frac{2 x - 3}{x + 5} \geq 2

What is the answer to (4x+1)/3 =(x+2)/4 ?
The answer to (4x+1)/3 =(x+2)/4 is x= 2/13
Solve for x: (4x+1)/3 =(x+2)/4
The solution is x= 2/13