Question

solve for x :
4+3(x+2)=(x+4) +3x​

Answer 1

Answer:

4+3(X+2) =(X+4)+3x

7x+14=3x²+12x

=3x²+5x-14

=3x²+7x-2x-14

=X(3x+7)-2(x-2)

Answer 2

Answer :-

$\sf Q) \: 4 + 3 \: (x + 2) = (x + 4) + 3x$

Removing the brackets,

$\sf \Rightarrow 4 + 3x + 6 = x + 4 + 3x$

Putting the variables and constants on different sides,

$\sf \Rightarrow3x - 3x - x = 4 - 4 - 6$

On simplifying,

$\sf \Rightarrow- x = - 6$

Removing the negative sign,

$\sf \Rightarrow x = 6.$

So, the value of x = 6.

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${\mathfrak {\underline {Verification} :-}}$

LHS

$\sf 4 + 3 \: (6 + 2)$

Removing the brackets,

$\sf 4 + 18 + 6$

On adding all the numbers, we get :-

$\sf 28.$

RHS

$\sf (6 + 4) + 3 \times 6$

Removing the brackets,

$\sf 6 + 4 + 3 \times 6$

Applying the BODMAS rule and multiplying 3 by 6 first,

$\sf 6 + 4 + 18$

On adding all the numbers, we get :-

$\sf 28.$

Since LHS = RHS,

Hence verified!