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Sagot :
Answer:
[tex]x = - \frac{11}{7} [/tex]
Step-by-step explanation:
1) Break down the problem into these 2 equations.
[tex]x - 1 = 6x + 12[/tex]
[tex] - (x - 1) = 6x + 12[/tex]
2) Solve the first equation. x - 1 = 6x + 12
[tex]x = - \frac{13}{5} [/tex]
3) Solve the second equation: -( x - 1 ) = 6x + 12.
[tex]x = - \frac{11}{7} [/tex]
4) Collect all solution.
[tex]x = - \frac{13}{5}. - \frac{11}{7} [/tex]
5) Check solution.
When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.
When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.We will drop x=-\frac{13}{5}x=−513 from the solution set.
6) Simplify.
[tex]x = - \frac{11}{7} [/tex]
Therefor, the answer is x = - 11/7.
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