1. Solve each equation a) \( 6 x-12=36 \)

Sure, let's solve the equation step by step: ### Given Equation: \[ 6x - 12 = 36 \] ### Step 1: Add 12 to Both Sides To isolate the term with \( x \), first eliminate the constant term on the left side by adding 12 to both sides of the equation. \[ 6x - 12 + 12 = 36 + 12 \] \[ 6x = 48 \] ### Step 2: Divide Both Sides by 6 Now, solve for \( x \) by dividing both sides of the equation by 6. \[ \frac{6x}{6} = \frac{48}{6} \] \[ x = 8 \] ### **Solution:** \[ x = 8 \] You can verify the solution by plugging \( x = 8 \) back into the original equation: \[ 6(8) - 12 = 48 - 12 = 36 \] Since both sides of the equation are equal, \( x = 8 \) is the correct solution.