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

The answer to (3x+1)/4 =(x-5)/3 is x=-23/5

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

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

x = - \frac{23}{5}

Decimal Notation

x = - 4.6

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x + 1) \cdot 3 : 9 x + 3

Expand

4 (x - 5) : 4 x - 20

9 x + 3 = 4 x - 20

Move

3

to the right side

9 x = 4 x - 23

Move

4 x

to the left side

5 x = - 23

Divide both sides by

5

x = - \frac{23}{5}

2 x^{2} - 3 x - 9 < 0

z = \frac{( 2 + 4 i )}{5 - 3 i}

f = \frac{1.7 f ^{2}}{1.2 f ^{7}}

3 (1 + 2 x) = 6 x + 3

x^{2} + 21 x + 108

What is the answer to (3x+1)/4 =(x-5)/3 ?
The answer to (3x+1)/4 =(x-5)/3 is x=-23/5
Solve for x: (3x+1)/4 =(x-5)/3
The solution is x=-23/5