Final answer:
To solve the equation |2x-7| |5-4x| |5 x|=16, isolate the absolute value expressions and solve for x.
Step-by-step explanation:
To solve the equation |2x-7| |5-4x| |5 x|=16, we need to isolate the absolute value expressions and solve for x.
Step 1: Set up the equation: |2x-7| |5-4x| |5 x|=16.
Step 2: Solve each absolute value expression separately:
a. |2x-7| = 16/(|5-4x| |5 x|)
b. |5-4x| = 16/(|2x-7| |5 x|)
c. |5 x| = 16/(|2x-7| |5-4x|)
Step 3: Solve each equation separately using the principles of absolute value, considering both the positive and negative cases.
Step 4: Substitute the solutions back into the original equation and verify that they satisfy the equation.