Question

the root of the equation (2x-1) +(x-1) = x +2 is

Answer 1

(2x-1)+(x-1)=x+2
3x-2=x+2
2x=4
x=2
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Answer 2

The root of the equation is x = 2

Given :

The equation (2x - 1) + (x - 1) = x + 2

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

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

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ (2x - 1) + (x - 1) = x + 2}$

$\displaystyle \sf{ \implies 2x - 1 + x - 1 = x + 2}$

$\displaystyle \sf{ \implies 3x - 2 = x + 2}$

$\displaystyle \sf{ \implies 3x - x = 2+ 2}$

$\displaystyle \sf{ \implies 2x = 4}$

$\displaystyle \sf{ \implies x = \frac{4}{2} }$

$\displaystyle \sf{ \implies x = 2 }$

Hence root of the equation is x = 2

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