Solve the equation using the addition property. Don't forget to perform a check. \( x-8.6=-5.7 \)

To solve the equation \( x - 8.6 = -5.7 \), you can use the addition property of equality. Add 8.6 to both sides of the equation: \[ x - 8.6 + 8.6 = -5.7 + 8.6 \] This simplifies to: \[ x = 2.9 \] Now, let's perform a check by substituting \( x \) back into the original equation: \[ 2.9 - 8.6 = -5.7 \] Calculating the left side gives: \[ -5.7 = -5.7 \] The check confirms that the solution is correct! The value of \( x \) is indeed \( 2.9 \). To elaborate a bit, additions like these are common in everyday situations, like balancing budgets or solving for unknowns in various subjects. Solving linear equations can build your math skills, but remember to double-check your work to avoid going down the wrong path!