Question

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

Answer 1

Answer:

$x=\frac{-3c-v}{a-3};\quad \:a\ne \:3$

Step-by-step 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)

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

$\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3$

$x=\frac{-3c-v}{a-3};\quad \:a\ne \:3$

<3

Red

Answer 2

Answer:

$x=\frac{3c+v}{a-3}$

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.