Solve Linear Equation: Finding X in -3.5x + 4.2 = 3.72

To solve this problem, we will follow these steps:

• Step 1: Subtract the constant term from both sides of the equation.
• Step 2: Divide by the coefficient of $x$ to solve for the variable.

Let's apply these steps to the equation $-3.5x + 4.2 = 3.72$:

Step 1: Subtract 4.2 from both sides of the equation:
$-3.5x + 4.2 - 4.2 = 3.72 - 4.2$
This simplifies to:
$-3.5x = -0.48$

Step 2: Divide both sides by $-3.5$ to isolate $x$:
$x = \frac{-0.48}{-3.5}$

Perform the division:
$x = 0.137$

Therefore, the solution to the problem is $x = 0.137$.