Solve for x: 4|2x - 2| + 10 = 34.

Remark

This will have 2 solutions. I will enclose a graph to show how it is done.

4|2x - 2| + 10 = 34 Subtract 10

Solution

4|2x - 2| = 34 - 10

4|2x - 2| = 24 Divide by 4

|2x - 2| = 24/4

|2x - 2| = 6

Solution 1

2x - 2 = 6 Add 2

2x = 6 + 2

2x = 8 Divide by 2

x = 8/2

x = 4

Solution 2

Make the 6 into - 6 and solve again

|2x - 2| = - 6

2x - 2 = - 6 Add 2 to both sides.

2x = - 6 + 2

2x = - 4 Divide by 2

x = - 4/2

x = - 2

Answer

There are 2 solutions

(-2,0) and (4,0) See the graph below.

Your answer would be X=4,-2