What is the answer to (6-8x)/5 =(3x-7)/2 ?

The answer to (6-8x)/5 =(3x-7)/2 is x= 47/31

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(6-8x)/5 =(3x-7)/2

\frac{6 - 8 x}{5} = \frac{3 x - 7}{2}

x = \frac{47}{31}

Decimal

x = 1.51612 \dots

Solution steps

\frac{6 - 8 x}{5} = \frac{3 x - 7}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(6 - 8 x) \cdot 2 = 5 (3 x - 7)

Expand

(6 - 8 x) \cdot 2 : 12 - 16 x

Expand

5 (3 x - 7) : 15 x - 35

12 - 16 x = 15 x - 35

Move

12

to the right side

- 16 x = 15 x - 47

Move

15 x

to the left side

- 31 x = - 47

Divide both sides by

- 31

x = \frac{47}{31}

4 x - 9 x + x + 2 y = - 4 x + 2 y

- 5 + 10 n = 35

\frac{9 - 2 x}{4} = x - 6

2 (3 p - 6) = 12 p

2 (x - 3)^{2} = (2 x - 5) (x + 1) + 4

What is the answer to (6-8x)/5 =(3x-7)/2 ?
The answer to (6-8x)/5 =(3x-7)/2 is x= 47/31
Solve for x: (6-8x)/5 =(3x-7)/2
The solution is x= 47/31