Question

2x - ( 1 - 2x) = 5 - 3 ( 1 + x)​

Answer 1

Answer:

Value of x = 1

Step-by-step explanation:

Given :

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

To find :

The value of x

Solution :

$:\implies\sf{2x-(1-2x)=5-3(1+x)}$

Use cross multiply

$:\implies\sf{2x-(1-2x)=5-3-3x}$

$:\implies\sf{2x-2x-1=2-3x}$

$:\implies\sf{-1=2-3x}$

$:\implies\sf{3x=2+1}$

$:\implies\sf{3x=3}$

$:\implies\sf{x=\cancel{\dfrac{3}{3}}}$

$:\implies\sf{x=1}$

So , the value of x is 1 .

Verification :

If the answer will come equal . Then , the answer will verified . So , the value of x is 1.

$:\implies\sf{2\times1-(1-2\times1)=5-3(1+1)}$

$:\implies\sf{2-(1-2)=2(2)}$

$:\implies\sf{2-(-1)=4}$

Here , (-)×(-) = (+) and (+)×(-)=(-) .

$:\implies\sf{2+2=4}$

$:\implies\sf{4=4}$

Hence , answer is verified .