Question

Solve and check your answer.
x+3/7-2x-5/3=3x-5/5-25​

Answer 1

Question :

Solve and check your answer

$\frac{x + 3}{7} - \frac{2x - 5}{3} = \frac{3x - 5}{5} - 25$

To find :

The value of x

Solution :

$\frac{x + 3}{7} - \frac{2x - 5}{3} = \frac{3x - 5}{5} - 25$

Talking LCM :

$\frac{3(x + 3) - 7(2x - 5)}{21} = \frac{3x - 5 - 125}{5}$

$\frac{3x + 9 - 14x + 35}{21} = \frac{3x - 130}{5}$

$\frac{ - 11x + 44}{21} = \frac{3x - 130}{5}$

Cross Multiply :

$5( - 11x + 44) = 21(3x - 130)$

$- 55x + 220 = 63x - 2730$

$220 + 2730 = 63x + 55x$

$2950 = 118x$

$x = \frac{2950}{118}$

$x = 25$

Check :

To find the value of x, we have to put the value of x i.e., 25 in the equation.

$\frac{x + 3}{7} - \frac{2x - 5}{3} = \frac{3x - 5}{5} - 25$

$\frac{25 + 3}{7} - \frac{2 (25) - 5}{3} = \frac{3(25) - 5}{5} - 25$

$\frac{28}{7} - \frac {50 - 5}{3} = \frac {75 - 5}{5} - 25$

$4 - \frac {45}{3} = \frac {70}{5} - 25$

$4 - 15 = 14 - 25$

$- 11 = - 11$

$\therefore$ Hence, checked!

___________________☆

Answer 2

X+3/7-2x-5/3=3x-5/5-25

3x+9-14x+35/21=3x-5-125/5

44-11x/21=3x-130/5

220-55x=63x-2730

220+2730=63+55x

2950=118x

X=25

Here the answer hope it helps you my friend