Solving Linear Equation: Finding X in 5.214 - 3.24X = -4.51

To solve the equation $5.214 - 3.24x = -4.51$, we begin by isolating the term with the variable.

• Step 1: Move the constant term on the left side to the right side of the equation. Subtract 5.214 from both sides:

$5.214 - 3.24x - 5.214 = -4.51 - 5.214$

This simplifies to:

$-3.24x = -9.724$

• Step 2: Solve for $x$ by dividing both sides by the coefficient of $x$, which is -3.24:

$x = \frac{-9.724}{-3.24}$

Perform the division:

$x = 3.001$

Thus, the solution to the equation is $x = 3.001$, aligning with the correct choice given the options.