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 rewriting \(-\left(-12\right)\) as \(+12\), so the equation becomes \$6h + 12 = 5 + 5h$.
3. Use the subtraction property of equality to isolate the variable terms on one side. Subtract \$5h\( from both sides to get \)6h - 5h + 12 = 5$.
4. Simplify the left side by combining like terms: \(\left(6h - 5h\right) + 12 = 5\) which simplifies to \(h + 12 = 5\).
5. Use the subtraction property of equality again to isolate \(h\) by subtracting 12 from both sides: \(h = 5 - 12\).