Solve for X: Finding the Solution to -1/2x + 3 = 7x - 27

To solve the equation $-\frac{1}{2}x + 3 = 7x - 27$, follow these steps:

• Step 1: Eliminate the fraction
  Multiply every term in the equation by 2 to remove the fraction: $2 \times \left(-\frac{1}{2}x + 3\right) = 2 \times (7x - 27)$ This simplifies to: $-x + 6 = 14x - 54$

• Step 2: Move variable terms to one side
  Add $x$ to both sides to move the $x$-terms to one side: $-x + x + 6 = 14x + x - 54$ This simplifies to: $6 = 15x - 54$

• Step 3: Move constant terms to the other side
  Add 54 to both sides to move the constant terms: $6 + 54 = 15x - 54 + 54$$60 = 15x$

• Step 4: Solve for $x$
  Divide both sides by 15 to isolate $x$: $\frac{60}{15} = x$,$x = 4$

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