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07 August 2009

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Comments

Andrew Robinson

5x-(3x-1)=x-4

X = -5. Thank you Wolfram Alpha!

shaun

x = -3

...just put like terms on the proper side of the equation and then simplify!

Harry Matthews

5x-(3x-1)=x-4

First, multiply out the bracket by -1.

5x-3x+1=x-4

Now group xs on one side and numbers on the other (ie -x on both sides and -1 on both sides)

5x-3x-x=-4-1

Simplify.

x=-5

budgie

If 5x-(3x-1)=x-4, then:

add 4 to both sides:

5x - (3x - 1) + 4 = x

Expand the (3x - 1) and remember because there's a minus outside the brackets that'll become MINUS 2x PLUS 1

5x - 3x + 1 + 4 = x

Simplify (5 lots of x minus 3 lots of x = 2x; 1+4=5)

2x + 5 = x

Subtract 5 from each side of the equation:

2x = x - 5

Subtract 'x' from each side:

So x = -5

Alasdair Allan

That'd be...

5x-(3x-1)=x-4
5x-3x+1=x-4
2x+1=x-4
2x-x=-4-1
x=-5

Chris W

Friday afternoon maths fun!

5x - (3x - 1)= x - 4

Rewrite brackets to make it a bit easier to see what's happening:

(5x - 3x) + 1 = x - 4

gives:

2x + 1 = x - 4

Subtract x from both sides:

x + 1 = -4

Subtract 1 from both sides:

x = -5

Test in original equation:

5x - (3x - 1)= x - 4

(5*-5)-((3*-5)-1)=(-5)-4

(-25)-((-15)-1))=(-5)-4

(-25) - (-16) = -9

-25 + 16 = -9

-9 = -9

Phil

I've managed to simplify x to equal -3 or -5. Can't figure out why either is wrong though. Time to go back to school

Simon

I really hope they aren't teaching maths as basic as that at Cambridge! If they are, our engineering industry is in massive trouble!

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