Math, asked by ejtryrtsdyd, 2 months ago

Solve
→2x - 3 = x + 2

Give me explanation of the answer......​

Answers

Answered by SweetCharm
18

★Solve 2x - 3 = x + 2

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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Answered by MysticCharm
5

Hey !!

Here is your answer dear

Solve

2 x - 3 = x + 2

( 1 ) Add 3 to both sides of the equation

2 − 3 = + 2

2 − 3 + 3 = + 2 + 3

( 2 ) Simplify

Add the numbers

2 x - 3 + 3 = x + 2 + 3

2 x = x + 2 + 3

Add the numbers

2 x = x + 2 + 3

2 x = x + 5

2 x = x + 5

( 3 ) Subtract  from both sides of the equation

2 x = x + 5

2 x − x = x + 5 − x

( 4 ) Simplify

Combine like terms

2 x − x = x + 5 − x

2 x - x = x + 5 -x

1 = x + 5 − x

Multiply by 1

1 × x = x + 5 − x

x = x + 5 − x

Combine like terms

x = x + 5 − x

x = 5

Solution

x = 5

HOPE IT WILL SATISFY YOUR QUESTION DEAR AND STAY SAFE

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