Question

Solve |x–1| = 6x + 12

Answer 1

Answer:

$x = - \frac{11}{7}$

Step-by-step explanation:

1) Break down the problem into these 2 equations.

$x - 1 = 6x + 12$

$- (x - 1) = 6x + 12$

2) Solve the first equation. x - 1 = 6x + 12

$x = - \frac{13}{5}$

3) Solve the second equation: -( x - 1 ) = 6x + 12.

$x = - \frac{11}{7}$

4) Collect all solution.

$x = - \frac{13}{5}. - \frac{11}{7}$

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.

$x = - \frac{11}{7}$

Therefor, the answer is x = - 11/7.