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

Question

asked Dec 18, 2021 12.6k views

1 Answer

Sergio Pardo · Answer 1 · 2021-12-25T04:32:24+0000

Answer:

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

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)

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

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

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

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