Solve Linear Equation: 74-6x+3=8x+5x-18 for Parameter X

To solve for $x$ in the equation $74 - 6x + 3 = 8x + 5x - 18$, follow these steps:

• Step 1: Simplify both sides of the equation.

On the left side:

$74 - 6x + 3 = 77 - 6x$ (Combining the constants)

On the right side:

$8x + 5x - 18 = 13x - 18$ (Combining the $x$ terms)

• Step 2: Set the simplified expressions equal.

$77 - 6x = 13x - 18$

• Step 3: Rearrange the equation to isolate terms with $x$.

Adding $6x$ to both sides:

$77 = 13x + 6x - 18$

$77 = 19x - 18$ (Combining the $x$ terms)

• Step 4: Solve for $x$.

Adding 18 to both sides to get rid of the constant on the right:

$77 + 18 = 19x$

$95 = 19x$

Dividing both sides by 19 to solve for $x$:

$x = \frac{95}{19} = 5$

Thus, the solution to the equation is $x = 5$.