Question

Solve for x - 4 = 1/4(8x - 16)

Answer 1

AnswEr :

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The value of x is 0

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➤ How to solve ?

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That's quite easy but you need to recall the BODMAS rule .

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BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

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In this equation we will solve the bracket then we will apply further BODMAS rule

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SolutiOn :

➠ x - 4 = 1 / 4 ( 8x - 16 )

➠ 4 ( x - 4 ) = 8x - 16

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➠ 4 ( x - 4 ) = 4 ( 2x - 4 )

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➠ x - 4 = 2x - 4

Now, we will bring the variable on left hand side and constants on right hand side

➠ x - 2x = - 4 + 4

➠ -x = 0

➠ x = -0

➠ x = 0

∴ The value of x is 0 .

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Answer 2

Hello!

$\large\boxed{x = 0}$

x - 4 = 1/4(8x - 16)

Distribute the 1/4:

x - 4 = 1/4(8x) + 1/4(-16)

x - 4 = 2x - 4

Subtract x from both sides:

x - x - 4 = 2x - x - 4

-4 = x - 4

Add 4 to both sides:

-4 + 4 = x - 4 + 4

0 = x