Question

Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1

Answer 1

All real numbers are solutions.

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

Answer 2

see below

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