Question

solve the equation-2x+3(x+1)+4(x+2)=74

Answer 1

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Above is ur answer ⬆️


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Answer 2

Answer:

$\sf{\huge{\boxed{x=12\frac{3}{5}}}}$

Step-by-step explanation:

We are given an equation involving an unknown variable x .

Our task is to find the value of the unknown variable.

This type of equation is also called linear equation .

Let us proceed keeping in mind the rules of a linear equation :

Θ You have to change the positive negative sign whenever we are changing the position of any number with respect to equal to sign .

Eg : x + 2 = 6

Then the next step will be x = 6 - 2

Note that the sign will change .

Θ In case of multiplication or division the opposite will occur in cases like :

Eg : x / 4 = 6

Then x = 6 × 4

Or 4 x = 12

= > x = 12 / 4

Θ Keep the variable in the left hand side and the numeric value in the right hand side .

- 2 x + 3 ( x + 1 ) + 4 ( x + 2 ) = 74 .

First of all , multiply the numbers and open the brackets :

= > - 2 x + 3 x + 3 + 4 x + 8 = 74 .

Gather like terms :

= > ( - 2 x + 3 x + 4 x ) + ( 8 + 3 ) = 74

Evaluate mentally and write the values :

= > 5 x + 11 = 74

Now transpose 11 to the other side :

= > 5 x = 74 - 11

= > 5 x = 63

Now divide the sides by 5 .

= > $\bf{x=\frac{63}{5}}$

The required value of x can be written in mixed fraction .

$\sf{\huge{\boxed{x=12\frac{3}{5}}}}$