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

The answer to (3x)/4 =(5x+1)/3 is x=-4/11

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

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

x = - \frac{4}{11}

Decimal Notation

x = - 0.36363 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

9 x = 4 (5 x + 1)

Expand

4 (5 x + 1) : 20 x + 4

9 x = 20 x + 4

Move

20 x

to the left side

- 11 x = 4

Divide both sides by

- 11

x = - \frac{4}{11}

4 x^{3} - 24 x^{2} + 32 x

w^{2} + 10 w + 16

41 = 8 x - 23

\frac{9 a ^{2} b}{3 a}

8 x^{2} + 6 x = 9

What is the answer to (3x)/4 =(5x+1)/3 ?
The answer to (3x)/4 =(5x+1)/3 is x=-4/11
Solve for x: (3x)/4 =(5x+1)/3
The solution is x=-4/11