Question

3x+5/4x+2=3x+4/4x+7
Solve this linear equation

Answer 1

Answer:

here is the answer

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Answer 2

Answer: -27/19

Step-by-step explanation:

1. the given equation is $3x+5/4x+2= 3x+4/4x+7$

2. there are various methods by which we can solve the particular equation.

3. let us try by cross multiplying method

Now, we will cross multiply

$(3x+5)(4x+7)= (3x+4)(4x+2)\\\\12x2+41x+35= 12x2+ 22x+8$

4. as you can see in the above step the cross multiplication is done and the bracket is opened both the equation on either sides are being solved

5. as we can see $12x2$ is common on bs , Now we will cancel $12x2$, we are left with

$41x+35 = 22x+8$

We will shift $22x$ to one side and $35$ to another, which will change their signs from positive to negative. the reason that we will be shifting it is because we want like terms together

here the like terms are brought together and then

$41x-22x= -35+8\\19x = -27$

after solving the entire equation we finally get the correct answer answer and the value of x

$x= -27/19,$ the value of x is -27/19

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