Question

5(x - 8) + 15 = 35

Answer 1

Answer:

x=12

Step-by-step explanation:

5(x-8) + 15 = 35

First remove the parenthesis by multiplying

5x-40 + 15 = 35

Add -40+15

5x -25 = 35

Add 25 to both sides

5x=60

Divide both sides by 5

x=12

Now you can plug in 12 for x if you need to, it will equal 35

Answer 2

Given Equation:

$\boxed{ \sf5(x - 8) + 15 = 35}$

Step-by-step explanation:

$\hookrightarrow\sf5(x - 8) + 15 = 35$

Multiply 5 by x - 8

$\hookrightarrow\sf5x -40 + 15 = 35$

Now after multiplying 5 with x-8 we get 5x - 40

Now add -40 with 15

$\hookrightarrow\sf5x -25= 35$

After adding-40 with 15 , we get -25.

Now transfer-25 to other side

$\hookrightarrow\sf5x = 35 + 25$

After transferring -25 to other side it's sign changes and from -25 it changes to +25.

Now add 35 with 25.

$\hookrightarrow\sf5x =60$

After adding 35 with 25 , we get 60.

Now transfer and then divide 5(denominator) with 60.

$\hookrightarrow\sf{}x = \dfrac{60}{5}$

Now Divide 5 with 60.

$\hookrightarrow\sf{}x = \cancel\dfrac{60}{5}$

$\hookrightarrow\sf{}x =12$

After dividing 55 and 5 , we get our final answer i.e. value of x as 12.

Verification:

➻5(x - 8) + 15 = 35

put value of x in this equation

➻5(12 - 8) + 15 = 35

Now by following the BODMAS rule , first we will solve the expression inside the bracket.

there fore first subtract 12 with 8

➻5(4) + 15 = 35

After subtracting 12 with 8, we get 4.

Now multiply 4 with 5.

➻20+ 15 = 35

After multiplying 4 with with 5 we get owr product as 20

Now add 20 with 15.

➻35 = 35

After adding 20 with 15 we get owr sum as 35.

Now as we can see :

LHS = RHS

Hence verified!

.°. owr final and verified value of x is 12.

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