Solve the given linear equation using addition and subtraction properties of equality.
$6h-(-12)=5+5h$

• A. $h=-17$
• B. $h=17$
• C. $h=7$
• D. $h=-7$

Answer: (D)

Verified step by step guidance

1. Start with the given equation: \(6h - \left(-12\right) = 5 + 5h\).
2. Apply the subtraction of a negative number by changing \(-\left(-12\right)\) to \(+12\), so the equation becomes \$6h + 12 = 5 + 5h$.
3. Use the subtraction property of equality to get all terms with \(h\) on one side by subtracting \$5h\( from both sides: \)6h - 5h + 12 = 5 + 5h - 5h\(, which simplifies to \)h + 12 = 5$.
4. Next, isolate \(h\) by subtracting 12 from both sides: \(h + 12 - 12 = 5 - 12\), resulting in \(h = 5 - 12\).
5. Simplify the right side to find the value of \(h\) (this is the final step to get the solution).