Question

X + 3 by 7 - 2 x minus 5 by 3 is equal to 3 x minus 5 by 5 minus 25 solve this equation and check your answer​

Answer 1

GIVEN :

The equation is $\frac{x + 3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ solve this equation and check your answer​

TO FIND :

The value of x in the given equation.

SOLUTION :

Given equation is $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$

Solving the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$  as below :

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

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

By using the distributive properties :

i) a(x+y)=ax+ay

ii) a(x-y)=ax-ay

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

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

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

By using the distributive property :

a(x-y)=ax-ay

220-55x=63x-2730

Adding the like terms,

-55x-63x=-2730-220

-118x=-2950

118x=2950

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

x=25

∴ the value of x in the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$  is 25

Answer 2

Hope this may help anyone.....