Question

Solve 2x - 3 = x + 2​

Answer 1

Given Equation:-

2x - 3 = x + 2

⠀

Solution:-

We have,

$\tt\longmapsto{}$ $\sf{2x = x + 2 + 3}$

or

$\tt\longmapsto{}$ $\sf{2x = x + 5}$

or

$\tt\longmapsto{}$ $\boxed{\sf{\purple{(Subtracting\: x\: from\: both\: sides↓)}}}$

$\tt\longmapsto{}$ $\sf{2x - x = x + 5 - x}$

or

$\tt\longmapsto{}$ $\sf{x = 5}$

★ Here we subtracted from both sides of the equation, not a number (constant), but a term involving the variable. We can do this as variables are also numbers. Also, note that subtracting x from both sides amounts to transposing x to L.H.S.

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Answer 2

Step-by-step explanation:

Given Equation:-

2x - 3 = x + 2

⠀

Solution:-

We have,

\tt\longmapsto{}⟼ \sf{2x = x + 2 + 3}2x=x+2+3

or

\tt\longmapsto{}⟼ \sf{2x = x + 5}2x=x+5

or

\tt\longmapsto{}⟼ \boxed{\sf{\purple{(Subtracting\: x\: from\: both\: sides↓)}}}

(Subtractingxfrombothsides↓)

\tt\longmapsto{}⟼ \sf{2x - x = x + 5 - x}2x−x=x+5−x

or

\tt\longmapsto{}⟼ \sf{x = 5}x=5

★ Here we subtracted from both sides of the equation, not a number (constant), but a term involving the variable. We can do this as variables are also numbers. Also, note that subtracting x from both sides amounts to transposing x to L.H.S.

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