Answer:
x = -21/23 or 0.913 (rounded to the nearest thousandth)
Explanation:
Step 1: Add 2/5 to both sides
1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5
2. -1/5x = 7/5 + 4/3x
Step 2: Subtract 4/3x from both sides
1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x
2. -23/15x = 7/5
Step 3: Multiply both sides by 15
1. (15)-23/15x = 7/5(15)
2. -23x = 21
Step 4: Divide both sides by -23
1. -23x/-23 = 21/-23
2. x = -21/23 or 0.913 (rounded to the nearest thousandth)