Question

what is the solution to 12x+18=4(5x-3) A. 1 1/2 B. 3 3/4 C. 7/8 D. 4/15

Answer 1

Answer:

B

Step-by-step explanation:

So we have the equation:

$12x+18=4(5x-3)$

Distribute the right:

$12x+18=20x-12$

Add 12 to both sides:

$12x+30=20x$

Subtract 12 from both sides:

$30=8x$

Divide both sides by 8:

$x=30/8$

Reduce:

$x=15/4$

Put into mixed fractions:

$x=12/4+3/4=3\text{ } 3/4$

Our answer is B :)

Answer 2

Answer:

$B. \:3\frac{3}{4}$

Step-by-step explanation:

$12x+18=4(5x-3)\\\\\mathrm{Expand\:}4\left(5x-3\right):\quad 20x-12\\12x+18=20x-12\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\12x+18-18=20x-12-18\\\\Simplify\\12x=20x-30\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\12x-20x=20x-30-20x\\\\Simplify\\-8x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-8\\\frac{-8x}{-8}=\frac{-30}{-8}\\\\Simplify\\x=\frac{15}{4}\\\\15\div 4 = 3remainder3\\\\=3\frac{3}{4}$