Question

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

Answer 1

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

$Steps:$

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

$Refine, 3x-15=8x$

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

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

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

$\mathrm{Simplify}, -5x=15$

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

$\mathrm{Simplify}, x=-3$

The correct answer is C. -3

Hope this helps!!!