Question

Solve the following:

3(x+1) = x+2

Answer 1

3x+3= x+2

3x- x = 2- 3

2x= - 1

x = -1/2"

hope it helps u

Answer 2

$\large\sf\underline{Given\::}$

• $\sf\:3(x+1) =x+2$

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$\large\sf\underline{To\:find\::}$

• Value of x

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$\large\sf\underline{Solution\::}$

$\sf\:3(x+1) =x+2$

• Multiplying and removing the brackets

$\sf\implies\:3x+3 =x+2$

• Transposing +x to the other side it becomes -x

$\sf\implies\:3x-x+3 =x+2$

$\sf\implies\:2x+3 =2$

• Transposing +3 to the other side it becomes -3

$\sf\implies\:2x=2-3$

$\sf\implies\:2x=-1$

• Transposing 2 to other side it goes to the denominator

$\small{\underline{\boxed{\mathrm\red{\implies\:x\:=\:\frac{-1}{2}}}}}$ ★

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$\large\sf\underline{Verifying\::}$

$\sf\:3(x+1) =x+2$

• Plugging the value of x as -1/2 in the given equation.

$\sf\to\:3(\frac{-1}{2}+1) =\frac{-1}{2}+2$

$\sf\to\:3(\frac{-1+2}{2}) =\frac{-1+4}{2}$

$\sf\to\:3(\frac{1}{2}) =\frac{3}{2}$

$\sf\to\:\frac{3}{2} =\frac{3}{2}$

$\bf\to\:LHS=RHS$

‎ $\sf\colorbox{aqua}{Hence\:verified}$

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!! Hope it helps !!