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11111nata11111 [884]
3 years ago
7

5(x - 8) + 15 = 35

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

x=12

Step-by-step explanation:

5(x-8) + 15 = 35

<em>First remove the parenthesis by multiplying</em>

5x-40 + 15 = 35

<em>Add -40+15</em>

5x -25 = 35

<em>Add 25 to both sides</em>

5x=60

<em>Divide both sides by 5</em>

x=12

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

Anna [14]3 years ago
5 0
<h3>Given Equation:</h3>

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

<h3>Step-by-step explanation:</h3>

\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.

<h3>Verification:</h3>

➻5(x - 8) + 15 = 35

put value of x in this equation

➻5(12 - 8) + 15 = 35

Now by following the <u>BODMAS</u> 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!

.°. <u>owr final and verified value of x is 12.</u>

<h2>~\blue{\sf{BrainlyVIP}}</h2>
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