Question

solve and check
4x-5=2x+5
please tell me the answer with solution​

Answer 1

Answer:

5

Step-by-step explanation:

here 4x-5=2x+5

4x-2x=5+5

2x=10

x=5

Answer 2

Given :-

$\sf 4x - 5 = 2x +5$

To Find :-

Solution of the equation and to verify it

Solution :-

Consider Given ;

$\quad \leadsto \quad \sf 4x - 5 = 2x +5$

Subtract 2x from both sides ;

${: \implies \quad \sf 4x - 5 - 2x = 2x + 5 - 2x}$

${: \implies \quad \sf ( 4x - 2x ) - 5 = \cancel{2x} + 5 - \cancel{2x}}$

${: \implies \quad \sf 2x - 5 = 5 }$

Add 5 to both sides ;

${: \implies \quad \sf 2x - 5 + 5 = 5 + 5 }$

${: \implies \quad \sf 2x - \cancel{5} + \cancel{5} = 10}$

${: \implies \quad \sf 2x = 10 }$

Dividing by 2 on both sides ;

${: \implies \quad \sf \dfrac{2x}{2} = \dfrac{10}{2} }$

${: \implies \quad \sf \dfrac{\cancel{2} x}{\cancel{2}} = \dfrac{\cancel{10}}{\cancel{2}}}$

${: \implies \quad \bf \therefore \quad \bf x = 5 }$

Verification :-

Consider the given equation ;

$\quad \leadsto \quad \sf 4x - 5 = 2x +5$

Now Put x = 5 to verify the equation ;

${: \implies \quad \sf 4 \times 5 - 5 = 2 \times 5 + 5}$

${: \implies \quad \sf 20 - 5 = 10 + 5 }$

${: \implies \quad \bf \therefore \quad 15 = 15 }$

Henceforth , Verified :D