The question requires us to solve for the variable 'x' from the equation 168 - 3.5*(10x - 2) = 0.
Let's solve it in steps:
Step 1: Write down the equation.
The equation we have been asked to solve is 168 - 3.5*(10x - 2) = 0.
Step 2: Distribute 3.5 across the bracket.
Multiply 3.5 into the terms inside the bracket (10x - 2), we get 35x - 7.
The equation now simplifies to: 168 - 35x + 7 = 0.
Step 3: Combine like terms.
Combine the constant terms 168 and 7 to get 175, then the equation becomes: - 35x + 175 = 0.
Step 4: Isolate variable 'x'.
To solve for 'x', we'll move everything else to the other side of the equation. This gives -35x = -175.
Step 5: Divide by -35 to solve for 'x'.
We will divide both sides by -35. This isolates the variable 'x' on one side of the equation and simplifies the equation to x = -175 / -35.
Step 6: Simplify the fraction.
This equation simplifies further to x = 5.
The solution to the equation 168 - 3.5*(10x - 2) = 0 is x = 5. Therefore, the equation has exactly one solution.