-3(h-6)=5(2h+3)
1) Distribute ex: 2(5+x) = 2*5 + 2*x = 10 +2x
2)Combine like-term
3)Solve for h
-3h + 18 = 10h + 15
13h = 3
Divide both sides of the equation by 13 for the value of h.
To solve the equation -3(h - 6) = 5(2h + 3), follow these steps:
Step 1: Distribute the -3 on the left side and the 5 on the right side of the equation:
-3h + 18 = 10h + 15
Step 2: Combine like terms on each side of the equation:
-3h - 10h = 15 - 18
-13h = -3
Step 3: Divide both sides of the equation by -13 to isolate the variable h:
-13h / -13 = -3 / -13
h = 3/13
Thus, the solution to the equation -3(h - 6) = 5(2h + 3) is h = 3/13.
To solve the equation -3(h-6)=5(2h+3), we'll use the distributive property to simplify both sides of the equation.
Starting with the left side of the equation, we'll distribute -3 to both terms within the parentheses:
-3 * h = -3h
-3 * -6 = 18
So, the left side of the equation becomes -3h + 18.
Now, let's focus on the right side of the equation. Distributing 5 to both terms within the parentheses:
5 * 2h = 10h
5 * 3 = 15
So, the right side of the equation becomes 10h + 15.
Now we have the equation -3h + 18 = 10h + 15.
To solve for h, let's simplify the equation further by combining like terms. We'll start by moving all the h terms to one side of the equation and the constant terms to the other side.
Let's start by subtracting 10h from both sides:
-3h - 10h + 18 = 10h - 10h + 15
Simplifying:
-13h + 18 = 15
Next, let's subtract 18 from both sides:
-13h + 18 - 18 = 15 - 18
Simplifying:
-13h = -3
Finally, to isolate h, we'll divide both sides of the equation by -13:
(-13h) / -13 = (-3) / -13
Simplifying:
h = 3/13
So, the solution to the equation -3(h-6)=5(2h+3) is h = 3/13.