Solve for X in the Linear Equation: 8.15x - 13.14 + 5 = 7.1 - 8.4x

Let's solve the given equation $8.15x - 13.14 + 5 = 7.1 - 8.4x$ step by step:

Step 1: Simplify both sides of the equation.
On the left-hand side, combine like terms:

$8.15x - 13.14 + 5 = 8.15x - 8.14$

Step 2: Simplify the right-hand side:

$7.1 - 8.4x$ (no combining needed here).

Now the equation is:

$8.15x - 8.14 = 7.1 - 8.4x$

Step 3: Move all $x$-terms to one side and constant terms to the other side.
Add $8.4x$ to both sides:

$8.15x + 8.4x - 8.14 = 7.1$

$16.55x - 8.14 = 7.1$

Step 4: Move the constant term on the left to the right side by adding 8.14:

$16.55x = 7.1 + 8.14$

$16.55x = 15.24$

Step 5: Solve for $x$ by dividing both sides by 16.55:

$x = \frac{15.24}{16.55}$

$x \approx 0.92$

Therefore, the solution to the equation is $x = 0.92$.