Question

How do you solve this equation? x/2 - x = x/4 + 6

Answer 1

X=-8
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Answer 2

Answer:

$x=-8$

Step-by-step explanation:

$\frac{x}2} -x=\frac{x}{4} +6$

Let's begin by getting rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators 2 & 4 (4).

$4(\frac{x}2} -x)=4(\frac{x}{4} +6)$

Distribute:

$\frac{4x}{2} -4x=\frac{4x}{4} +24$

Simplify:

$2x-4x=x+24$

Combine like terms:

$-2x=x+24$

Subtract $x$ from both sides of the equation:

$-3x=24$

Divide both sides of the equation by the coefficient of $x$, which is $-3$:

$x=-\frac{24}{3}$

Simplify:

$x=-8$