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

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

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

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

x = \frac{2}{13}

Decimal Notation

x = 0.15384 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 - 2 x) \cdot 3 : 9 - 6 x

Expand

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

9 - 6 x = 20 x + 5

Move

9

to the right side

- 6 x = 20 x - 4

Move

20 x

to the left side

- 26 x = - 4

Divide both sides by

- 26

x = \frac{2}{13}

x^{4} + 5 x^{2} \geq 36

5.5 x = (4.47 x - 10000)^{2}

7 x^{2} = 16

4 + 2 ∣ 4 x - 7 ∣ > 10

x^{2} = 10 x - 24

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