Question

$\frac{3}{4}(x + 1) = \frac{1}{2}(5 - 2x) \\ find \: the \: value \: of \: x \:$
Answer with process​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :-

(3/4)(x+1) = (1/2)(5-2x)

To find :-

Find the value of x ?

Solution :-

Given equation is (3/4)(x+1) = (1/2)(5-2x)

=> (3x+3)/4 = (5-2x)/2

On applying cross multiplication then

=> 4(5-2x) = 2(3x+3)

=> 20-8x = 6x+6

=> -8x-6x = 6-20

=> -14x = -14

=> 14x = 14

=> x = 14/14

=> x = 1

Therefore, x = 1

Answer:-

The value of x for the given problem is 1

Check :-

If x = 1 then

LHS = (3/4)(x+1)

=> (3/4)(1+1)

=> (3/4)(2)

=> (3×2)/4

=> 6/4

=> LHS = 3/2

RHS = (1/2)(5-2x)

=> (1/2)(5-2(1))

=> (1/2)(5-2)

=>(1/2)(3)

=>(3/2)

=> RHS = 3/2

LHS = RHS is true for x = 1

Verified the given relations in the given problem