Question

2x-5= 4x+5.
Find the value of x.​

Answer 1

Step-by-step explanation:

4x-2x= -5-5

2x= -10

x= -5

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Answer 2

Given Equation :-

$\large\sf{2x - 5 = 4x + 5}$

How To Solve ?

Use Transposition Method for solving this equation. This basically involves of changing of signs. Like,

+ to –

– to +

× to ÷

÷ to ×

Solution :-

$\dashrightarrow\sf{2x - 5 = 4x + 5}$

$\dashrightarrow\sf{2x - 4x = 5 + 5}$

$\dashrightarrow\sf{ - 2x = 10}$

$\dashrightarrow\sf{2x = - 10}$

$\dashrightarrow\sf{x = \dfrac{ - 10}{2} }$

$\dashrightarrow\boxed{\bf\red{x = - 5}}$

Verification :-

$\dashrightarrow\sf{2x - 5 = 4x + 5}$

$\dashrightarrow\sf{2( - 5) - 5 = 4( - 5) + 5}$

$\dashrightarrow\sf{ - 10 - 5 = - 20 + 5}$

$\dashrightarrow\boxed{\sf\red{ - 15 = - 15}}$

Hence, Verified.