Solve for X in -45+3x+99=5x+11x+2: Linear Equation Challenge

To solve the equation $-45 + 3x + 99 = 5x + 11x + 2$, we'll proceed as follows:

Step 1: Combine like terms on both sides of the equation.

• The left side becomes: $3x + 99 - 45 = 3x + 54$.
• The right side combines terms with $x$: $5x + 11x = 16x$. Thus, the right side is $16x + 2$.

The equation now looks like this: $3x + 54 = 16x + 2$.

Step 2: Move all terms involving $x$ to one side and constant terms to the other side.

Subtract $3x$ from both sides to begin isolating $x$:

• This gives: $54 = 16x - 3x + 2$, simplifying to $54 = 13x + 2$.

Step 3: Isolate $x$.

• Subtract $2$ from both sides: $54 - 2 = 13x$.
• This simplifies to $52 = 13x$.
• Divide both sides by 13 to solve for $x$: $x = \frac{52}{13}$.

Finally, simplify $\frac{52}{13} = 4$.

Therefore, the solution to the problem is $x = 4$.