Solve for x. Describe the steps taken to find the solution.

3 (4x - 3) + 8 = 2x + 10x - 1

All real numbers are solutions.

Step-by-step explanation:

3 (4x - 3) + 8 = 2x + 10x - 1 Example 1:

12x - 9 + 8 = 12x - 1 3 ((4*1) - 3) + 8 = (2*1) + (10*1) - 1

- 12x = - 12x 3 ((4) - 3) + 8 = (2) + (10) - 1

-9 + 8 = - 1 (12 - 9) + 8 = 12 - 1

-1 = - 1 3 + 8 = 12 - 1

Example 2 11 = 11

3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

3 ((24) - 3) + 8 = (12) + (60) - 1

72 - 9 + 8 = 72 - 1

72 - 1 = 72 - 1

71 = 71

see below

Step-by-step explanation:

3 (4x - 3) + 8 = 2x + 10x - 1

Distribute

12x - 9 + 8 = 2x+10x - 1

Combine like terms

12x - 1 = 12x - 1

Subtract 12x from each side

12x - 1 - 12x = 12x - 1-12x

-1 = - 1

This is true for all values of x

x = all real numbers