Question

Solve for x : ax+v=3(x-c)

Answer 1

`x=(-3c-v)/(a-3);\quad \:a\\e \:3`

Explanation:

--expand--

ax+v=3x-3c

--subtract v from each side--

ax+v-v=3x-3c-v

--simplfy--

ax=3x-3c-v

--subtract 3x from both side--

ax-3x=3x-3c-v-3x

--simplfiy--

--factor--(factor out the x from ax-3)

`x\left(a-3\right)=-3c-v`

`(x\left(a-3\right))/(a-3)=-(3c)/(a-3)-(v)/(a-3);\quad \:a\\e \:3`

`x=(-3c-v)/(a-3);\quad \:a\\e \:3`

<3

Red