Question

Find the value of x for: 31(5x + 40) = 25 (7x+ 40)​

Answer 1

Answer:

31(5x+40)=25(7x+40)

155x+1240=175x+1000

155x-175x = 1000-1240

-20x =-240

x=-240/-20

=12

Mark it as Brainlist answer

Answer 2

$\sf\huge \mathbb{\underline{\underline{{Solution}}}}$

How to solve?

step 1: First step is to Opening the brackets and expanding the term.

Step 2:After opening the brackets Multiply each and every term inside the brackets with outside.

Step 3:Make like terms together.

Step 4:Shifts all constant to connect side and let the Variable alone.

$\sf\implies31(5x + 40) = 25(7x + 40)$

Expanding the terms and opening the brackets

$\sf\implies155x + 1240 = 175x + 100$

Making like terms together:

$\sf\implies1240 - 1000 = 175x - 155x$

$\sf\implies20x = 240$

$\sf\implies \: x = \dfrac{240}{20} = 12$

$\sf\therefore \: The \: value \: of \: x \: is \:{ \red{12}}$

Check:-

$\sf\implies31(5x + 40) = 25(7x + 40)$

Taking LHS at x=12

$\sf\implies31[5(12) + 40]$

$\sf\implies31(60 + 40) = 31 \times 100 = 3100$

Taking RHS

$\sf\implies25(7x + 40)$

$\sf\implies25[7(12) + 40]$

$\sf\implies25(84 + 40) = 25 \times 124 = 3100$

Since,LHS = RHS (Verified)