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Solve for the variable x-8=3x+6

2 Answers

3 votes

Question:-

Solve for x Or Find the value of x

Expression provided:-


\sf \: x-8=3x+6

Solution:-


\sf \longmapsto \: x-8=3x+6

Subtract 3x from both sides:-


\sf \longmapsto \: x - 8 \red{- 3x}=3x+6 \red{- 3x}

On Simplification of this equation:-


\sf \longmapsto - 2x - 8 = 3x + 6 - 3x


\sf \longmapsto - 2x - 8 = 0 + 6


\sf \longmapsto - 2x - 8 = 6

Add 8 to both sides:-


\sf \longmapsto \: - 2x - 8\red{+8}=6\red{+8}

On Simplification of this equation:-


\sf \longmapsto - 2x - 0 = 6 + 8


\sf \longmapsto - 2x = 14

Divide both sides by -2:-


\sf \longmapsto \frac{ - 2x}{ \red{- 2}} = \frac{14}{ \red{- 2}}

Cancel -2x/-2, result would be x :-


\sf \longmapsto \frac{ \cancel{ - 2}x}{ \cancel{ - 2}} = (14)/( - 2)

Then cancel 14/-2, result would be -7 :-


\sf \longmapsto \: x = \cancel(14)/( - 2)


\sf \longmapsto \: x = - 7

_____________________________________


\bf \: Henceforth,The\: answer \: is:


\boxed{\boxed{\huge\red{x = - 7}}}

________________________________

~MisterBrian

User Cedriga
by
7.8k points
4 votes
X-8=3x+6
(Minus 3x and add 8 to group your variables)
-3x+x=8+6
-2x=14
-2x/-2 = 14/-2
X=-7
User Kartheeki J
by
9.0k points