Question

What is the value of x if 0.7(x-3)-7/2=21/2

Answer 1

Answer:

→ x = 23

Step-by-step explanation:

Given Equation :

• 0.7 ( x - 3 ) - (7/2) = 21/2

which can be also written as ,

• 0.7 ( x - 3 ) - 3.5 = 10.5

We have to find :

• Value of x

Solution :

$\sf{ \dashrightarrow \: \: \: 0.7 ( x - 3 ) - 3.5 = 10.5}$

Adding 3.5 on both sides :

$\sf{ \dashrightarrow \: \: \: 0.7 ( x - 3 ) - \cancel{3.5} + \cancel{3.5} = 10.5 + 3.5}$

We get ,

$\sf{ \dashrightarrow \: \: \: 0.7 ( x - 3 ) = 14}$

Dividing both sides with 0.7 :

$\sf{ \dashrightarrow \: \: \: \dfrac{ \cancel{0.7} ( x - 3 ) }{ \cancel{0.7}} = \dfrac{14}{0.7}}$

We get ,

$\sf{ \dashrightarrow \: \: \: x - 3 = \cancel{\dfrac{14}{7}} \times 10}$

$\sf{ \dashrightarrow \: \: \: x - 3 = 20}$

Adding 3 on both sides :

$\sf{ \dashrightarrow \: \: \: x - \cancel{3 } + \cancel{3} = 20 + 3}$

We havw :

$\sf{ \dashrightarrow \: \: \: \underline{ \boxed{ \bold{x = 23}}}} \: \: \: \bigstar$

>>> Therefore, value of x is "23".