Question

Solve the equation. Simplify your answer if possible.((x+2)/5)+((x+1)/3)=((x-3)/10)-2​

Answer 1

Answer:

The solved given equation

$(\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2$  is x=-7

Step-by-step explanation:

Given equation is $(\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2$

To solve the given equation as below :

$(\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2$ ( by using the distributive property )

$\frac{3x+6+5x+5}{15}=\frac{x-3-20}{10}$ ( adding the like terms )

$\frac{8x+11}{15}=\frac{x-23}{10}$

Multiply into (10(15) on both sides we get

$\frac{8x+11}{15}\times (10)(15)=\frac{x-23}{10}\times (10)(15)$

$(8x+11)\times (10)=(x-23)\times (15)$ ( by using the distributive property )

$80x+110-15x+345=0$ ( adding the like terms )

$65x+455=0$

$65x=-455$

$x=-\frac{455}{65}$

Therefore x=-7

Therefore the solved given equation is x=-7