Question

-(4-x)=3/4(x-6)

Answer 1

@Deionisaboss expand the brackets. Pay attention to signs ie (+ and -)

Answer 2

Then put all x terms on one side, constants on the other, separated by the equal sign (dont forget :))..... Then Simplify

Answer 3

4[-(4-x)]=4[3/4(x-6)]

Answer 4

Where did the new 4 come from? @Deionisaboss

Answer 5

The fraction

Answer 6

That is what my teacher told me to do

Answer 7

3/4(x-6) could be interpreted in more than one way. Use parentheses to indicate how YOU want others to interpret it.

Answer 8

.75-4.5x

Answer 9

.75x-4.5

Answer 10

3/4(x-6) could be interpreted as \[\frac{ 3 }{ 4 }(x-6) \(or)\ \frac{ 3 }{ 4(x+6) }\]... and both can't be true at the same time. That's what I meant by "misinterpretation." Which did you mean?

Answer 11

Simplifying

Answer 12

But yours makes more sense

Answer 13

Glad mine 'makes more sense.' But still, which one?

If you are multiplying (x+6) by (3/4), then what result do you obtain?

Answer 14

3/4x-4 1/2

Answer 15

All right. I would have preferred that you'd responded with (3x)/4 or (3/4)x. Otherwise, how can I be sure that you didn't mean 3/(4x) ? That's my main point here.

Answer 16

Your original problem: -(4-x)=(3/4)(x-6)
could be simplified by multiplying both sides of this equation by 4.

That removes the fraction: -4(4-x)=3(x-6).

Can you complete the solution? Find x.

Answer 17

X=2