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Dmitry_Shevchenko [17]
3 years ago
8

Solve: The quantity 3 x minus 15 divided by 2 = 4x (5 points)

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3

Steps:

\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2

Refine, 3x-15=8x

\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15

\mathrm{Simplify}, 3x=8x+15

\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x

\mathrm{Simplify}, -5x=15

\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}

\mathrm{Simplify}, x=-3

The correct answer is <u><em>C. -3</em></u>

Hope this helps!!!

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