Question

2x-3/6-x-5/2=x/6.solve​

Answer 1

Answer:

18/5

Step-by-step explanation:

we have, 2x- 3/6-x-5/2 = x/6

=> x-x/6 = 5/2+3/6

=> (6x-x)/6 = 5/2+1/2

=> 5x/6 = 6/2

=> 5x/6 = 3

=> x = 3×6/5

=> x = 18/5 .....ans.

Answer 2

The required solution is  $x=\frac{18}{5}$

Step-by-step explanation:

$2x-\frac{3}{6}-x-\frac{5}{2}=\frac{x}{6}\\\\\Rightarrow x-\frac{1}{2}-\frac{5}{2}=\frac{x}{6}\\\\\Rightarrow x-\frac{6}{2} =\frac{x}{6}\\ \\\Rightarrow \frac{2x-6}{2}=\frac{x}{6}$

Cross Multiply

$\Rightarrow 6(2x-6)=2 x\\\\\Rightarrow 12x-36=2x$

Add 36 on both sides

$\Rightarrow 12x-36+36=2x+36\\\\\Rightarrow 12x=2x+36$

Subtract 2x from both sides

$\Rightarrow 12x-2x=36\\\\\Rightarrow 10x=36$

Divide 10 on both sides

$\Rightarrow \frac{10x}{10}=\frac{36}{10}\\\\\Rightarrow x=\frac{18}{5}$

Learn More:

Solve for x and y: 2x-y=6 and x-y=2

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