Question

5(5x-10)=15 to solve
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Answer 1

Given:

solve : 5(5x-10)=15

To Find:

The value of x

Solution:

5(5x-10)=15

$= > 5(5x - 10) = 15$

$= > (5 \times 5x) - (5 \times 10) = 15$

$= > 25x - 50 = 15$

$= > 25x = 15 + 50$

$= > 25x = 65$

$= > x = \dfrac{65}{25}$

$= > x = 2.6$

Hence, the value of x is 2.6

Answer 2

SOLUTION

TO SOLVE

$\sf{5(5x - 10) = 15}$

EVALUATION

Here the given equation is

$\sf{5(5x - 10) = 15}$

We now solve for x

$\sf{5(5x - 10) = 15}$

Dividing both sides by 5 we get

$\sf{(5x - 10) = 3}$

$\sf{ \implies \: 5x =10 + 3}$

$\sf{ \implies \: 5x =13}$

$\displaystyle \sf{ \implies \: x = \frac{13}{5} }$

Hence the required solution

$\boxed{ \: \displaystyle \sf{ \: x = \frac{13}{5} } \: \: }$

VERIFICATION

Here the given equation is

$\displaystyle \sf{ 5(5x - 10) = 15}$

Putting the value of x in LHS we get

$\displaystyle \sf{ 5(5x - 10)}$

$\displaystyle \sf{ = 5 \bigg(5 \times \frac{13}{5} - 10 \bigg)}$

$\displaystyle \sf{ = 5 (13 - 10)}$

$\displaystyle \sf{ = 5 \times 3}$

$= 15$

Now RHS = 15

∴ LHS = RHS

Hence verified

FINAL ANSWER

The required solution is

$\boxed{ \: \displaystyle \sf{ \: x = \frac{13}{5} } \: \: }$

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