Solve for X: Linear Equation with 3.5x + 7.5x - 3.1x Terms

To solve the given equation $60 - 3.5x + 7.5x = 48 + 3.1x - 16$, we will follow these steps:

• Step 1: Simplify each side of the equation.
• Step 2: Combine like terms.
• Step 3: Isolate and solve for $x$.

Step 1: Simplify each side of the equation.

On the left side, we have: $60 - 3.5x + 7.5x = 60 + (7.5x - 3.5x) = 60 + 4x$

On the right side, we have: $48 + 3.1x - 16 = (48 - 16) + 3.1x = 32 + 3.1x$

Step 2: The equation now becomes:

$60 + 4x = 32 + 3.1x$

Step 3: Move terms to isolate $x$.

Subtract $3.1x$ from both sides:

$60 + 4x - 3.1x = 32$

$60 + 0.9x = 32$

Next, subtract 60 from both sides to isolate the $x$-terms:

$0.9x = 32 - 60$

$0.9x = -28$

Finally, divide by 0.9 to solve for $x$:

$x = \frac{-28}{0.9}$

$x = -31.11$

Therefore, the solution to the equation is $x = -31.11$.