Question

solve the equation $2x - (1 - 12x) = 8x - 3$ algebraically. answer as a reduced fraction only. $x = \square$ question help: video 1 video 2 video 3

Explanation:

Step1: Remove parentheses, distribute negative sign

$2x - 1 + 12x = 8x - 3$

Step2: Combine like terms on left side

$14x - 1 = 8x - 3$

Step3: Subtract $8x$ from both sides

$14x - 8x - 1 = -3$
$6x - 1 = -3$

Step4: Add 1 to both sides

$6x = -3 + 1$
$6x = -2$

Step5: Divide by 6, simplify fraction

$x = \frac{-2}{6} = \frac{-1}{3}$

Answer:

$x = \frac{-1}{3}$