Math, asked by junedkhan172, 11 months ago

Solve: 7x-5 /2x=6 please can you tell the answer of this



Answers

Answered by AbhijithPrakash
6

Answer:

$\frac{7x-5}{2x}=6\quad :\quad x=-1$

Step-by-step explanation:

$\frac{7x-5}{2x}=6$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}2x}$

$\frac{7x-5}{2x}\cdot \:2x=6\cdot \:2x$

$\gray{\mathrm{Simplify}}$

$7x-5=12x$

$\gray{\mathrm{Add\:}5\mathrm{\:to\:both\:sides}}$

$7x-5+5=12x+5$

$\gray{\mathrm{Simplify}}$

$7x=12x+5$

$\gray{\mathrm{Subtract\:}12x\mathrm{\:from\:both\:sides}}$

$7x-12x=12x+5-12x$

$\gray{\mathrm{Simplify}}$

$-5x=5$

$\gray{\mathrm{Divide\:both\:sides\:by\:}-5}$

$\frac{-5x}{-5}=\frac{5}{-5}$

$\gray{\mathrm{Simplify}}$

$x=-1$


Anonymous: Incredible LaTeX
AbhijithPrakash: Thanks....!!
Answered by promethium
4

Answer:

x = -1

Step-by-step explanation:

Given:

  • \frac{7x - 5}{2x} = 6

Remove the denominator:

The denominator can be removed my multiplying it by 2x, which must then be multiplied on the other side.

\frac{7x - 5}{2x} = 6 \longrightarrow 7x - 5 = 12x

Solve for x:

7x - 5 = 12x

Subtract seven from both sides, as it is smaller than 12.

12x - 7x = 5x

5x = -5

Divide 5 in both sides

x = -1

Therefore, our answer would be x = -1

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