Question

3(1-2x)=1/4(6x+9) what does x equal? A) x=1/10 B) x=7/10 C) x=-12/7 D)x=-1/5

Answer 1

Answer:

A

Step-by-step explanation:

3(1-2x)=1/4(6x+9)

3-6x=1 1/2x+2 1/4

-2 1/4          -2 1/4

3/4-6x=1 1/2x

    +6x  +6x

3/4=7 1/2x

/7 1/2   /7 1/2

1/10=x

Answer 2

Answer:

A

Step-by-step explanation:

$3\left(1-2x\right)=\frac{1}{4}\left(6x+9\right)\quad:\quad x=\frac{1}{10}\quad\left(\mathrm{Decimal}:\quad x=0.1\right)$

3\left(1-2x\right)=\frac{1}{4}\left(6x+9\right)

$3\left(1-2x\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad\:a\left(b-c\right)=ab-ac$

$a=3,\:b=1,\:c=2x$

$=3\cdot\:1-3\cdot\:2x$

=3-6x

3-6x=\frac{3}{2}x+\frac{9}{4}

3-6x-3=\frac{3}{2}x+\frac{9}{4}-3

-6x=-\frac{3}{4}+\frac{3}{2}x

-6x-\frac{3}{2}x=-\frac{3}{4}+\frac{3}{2}x-\frac{3}{2}x

-\frac{15}{2}x=-\frac{3}{4}

2\left(-\frac{15}{2}x\right)=2\left(-\frac{3}{4}\right)

-15x=-\frac{3}{2}

\frac{-15x}{-15}=\frac{-\frac{3}{2}}{-15}

x=\frac{1}{10}

Hope I helped

Brainliest plz

Sorry about all this work