Question

Solve the following equations
|3x-4(x+1)|=2

Answer 1

x = -6 or x = -2

Explanation:

|3x-4(x+1)|=2

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2 or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4 or -x-4 = -2+4

-x = 6 or -x =2

Multiply by -1

x = -6 or x = -2