4x+8x-6=1 What is the solution to the equation above? Answer Choices x=-23 x=-25 x=-143 x=23

Divide each term by 66 and simplify.

|6-4x| = 4x 3 + 23 |6-4x| = 4x 3 + 23 Remove the absolute value term. This creates a ±± on the right side of the equation because |x| = ±x |x| = ±x. 6-4x=± 4x 3 + 23 6-4x=± 4x 3 + 23 Set up the positive portion of the ±± solution. 6-4x = 4x 3 + 23 6-4x = 4x 3 + 23 Solve the first equation for xx ... x=1 x=1 Set up the negative portion of the ±± solution. 6-4x = - (4x 3 + 23) 6-4x = - (4x 3 + 23) Move xx to the right side of the equation by subtracting xx from both sides of the equation. - 8x 3 = - 203 - 8x 3 = - 203 Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction. (-8x) ⋅ (3) = (3) ⋅ (-20) (-8x) ⋅ (3) = (3) ⋅ (-20) Solve the equation for xx ... x = 52 x = 52 The solution to the equation includes both the positive and negative portions of the solution. x=1, 52