What is the answer to (2-7x)/3 =(5x-1)/2 ?

The answer to (2-7x)/3 =(5x-1)/2 is x= 7/29

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(2-7x)/3 =(5x-1)/2

\frac{2 - 7 x}{3} = \frac{5 x - 1}{2}

x = \frac{7}{29}

Decimal Notation

x = 0.24137 \dots

Solution steps

\frac{2 - 7 x}{3} = \frac{5 x - 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 - 7 x) \cdot 2 = 3 (5 x - 1)

Expand

(2 - 7 x) \cdot 2 : 4 - 14 x

Expand

3 (5 x - 1) : 15 x - 3

4 - 14 x = 15 x - 3

Move

4

to the right side

- 14 x = 15 x - 7

Move

15 x

to the left side

- 29 x = - 7

Divide both sides by

- 29

x = \frac{7}{29}

6 - 4 n = - 4 (n - 1)

- 7 = - \frac{3}{2} x + 11

- 8 (- 2 x - 4) = 16 x + 32

7 (4 + 7) = 28 + 49

8 = 11 - v

What is the answer to (2-7x)/3 =(5x-1)/2 ?
The answer to (2-7x)/3 =(5x-1)/2 is x= 7/29
Solve for x: (2-7x)/3 =(5x-1)/2
The solution is x= 7/29