What is the answer to (4x-1)/2 =(x+5)/3 ?

The answer to (4x-1)/2 =(x+5)/3 is x= 13/10

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(4x-1)/2 =(x+5)/3

\frac{4 x - 1}{2} = \frac{x + 5}{3}

x = \frac{13}{10}

Decimal Notation

x = 1.3

Solution steps

\frac{4 x - 1}{2} = \frac{x + 5}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 1) \cdot 3 = 2 (x + 5)

Expand

(4 x - 1) \cdot 3 : 12 x - 3

Expand

2 (x + 5) : 2 x + 10

12 x - 3 = 2 x + 10

Move

3

to the right side

12 x = 2 x + 13

Move

2 x

to the left side

10 x = 13

Divide both sides by

10

x = \frac{13}{10}

\frac{2}{3} \geq - \frac{1}{2} x

(\frac{2}{3})^{5} (\frac{2}{3})^{- 3} (\frac{2}{3})^{4} (\frac{2}{3})^{5}

3 m - 2 n - 2 n x^{4} + 3 m x^{4}

\frac{1}{2} - \frac{5}{3}

3 m^{2} (m - 2 n) - 4 mn (m - 2 n) - 4 n^{2} (m - 2 n)

What is the answer to (4x-1)/2 =(x+5)/3 ?
The answer to (4x-1)/2 =(x+5)/3 is x= 13/10
Solve for x: (4x-1)/2 =(x+5)/3
The solution is x= 13/10