If \(\dfrac{x}3+\dfrac{x}4+15=x,\) then \(x =\)
A. 18
B. 24
C. 36
D. 48
E. 60
Answer: C
Source: Magoosh
If \(\dfrac{x}3+\dfrac{x}4+15=x,\) then \(x =\)
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$$\frac{x}{3}+\frac{x}{4}+15=x$$
Take the lcm
$$\frac{4x+3x+180}{12}=x$$
$$4x+3x+180=12x$$
$$7x+180=12x$$
$$180=12x-7x$$
$$180=5x$$
$$x=\frac{180}{5}=36$$
Answer = option C
Take the lcm
$$\frac{4x+3x+180}{12}=x$$
$$4x+3x+180=12x$$
$$7x+180=12x$$
$$180=12x-7x$$
$$180=5x$$
$$x=\frac{180}{5}=36$$
Answer = option C
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Solution:
Multiplying the equation by 12, we have:
4x + 3x + 180 = 12x
180 = 5x
36 = x
Answer: C
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