3X  5 (2X8) + 4 = 2  (X4)
3X + 10X + 40 + 4 = 2  (X4)
3X + 10X + 40 + 4 = 2  X + 4

 Combine terms of X
13X + 40 + 4 = 2  X + 4

 Combine constants.
13X + 44 = 2  X + 4

 Combine constants.
13X + 44 = 6  X
 Sort terms in decreasing powers.
13X + X =  44 + 6

 Combine terms of X
14X =  44 + 6

 Combine constants.
14X =  38

 Next divide by 14, the coefficient of X.
7X =  19
 Multiply by 1 to clear decimals.
 19
X = + ______
7

 Check solutions by substituting each one in the original equation.

 CHECKING SOLUTION #1: X = 2.71429
3X  5 (2X8) + 4 = 2  (X4)
 8.14286 + 5(2.57143) + 4 = 2  (X4)
 8.14286 + 12.8571 + 4 = 2 + 6.71429
4.71429 + 4 = 2 + 6.71429
8.71429 = 2 + 6.71429
8.71429 = 8.71429
 Both sides of equation are equal.
 X = 2.71429 solution is verified.
 Check successful
 The solution set is valid.
***** Problem Summary *****
Problem: Solve

 3X  5 (2X8) + 4 = 2  (X4)

Solution

 Solution: X = 2.71429

***** End of Problem *****