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(X/4)=(-X/2)-1

X/4 and -X/2 are fractions.

Multiply both sides of the equation by 4.

This gives 4(x/4) = 4(-x/2) - 4.

4(x/4) is the same as 4x/4 = x.

4(-x/2) is the same as -4x/2 = -2x.

This gives x = -2x - 4.

Add 2x to both sides, giving 2x+x = -4.

This is the same as 2x+1x = -4.

Adding the x terms gives 3x = -4.

Dividing by 3 gives x = -4/3.

Putting that back in to check gives (-4/3)/4 = (4/3)/2 - 1.

If -4/3 is divided by 4, the result is -1/3.

If 4/3 is divided by 2, the result is 2/3.

When 1 is subtracted from 2/3 the answer is -1/3.

As can be seen, both sides evaluated to -1/3, so that answer is correct.

Algebra

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