Solve the equation and show your work for 4 (h - 7) - 10 = 18 x =
To solve the equation 4(h - 7) - 10 = 18, we follow the following steps:
1. Distribute the 4 to the terms inside the parentheses:
4h - 28 - 10 = 18
2. Combine like terms on the left side of the equation:
4h - 38 = 18
3. Add 38 to both sides of the equation to isolate the variable:
4h = 18 + 38
4h = 56
4. Divide both sides of the equation by 4 to solve for h:
h = 56/4
h = 14
So, the solution to the equation is h = 14.
To solve the equation 4(h - 7) - 10 = 18 for x, we need to simplify and isolate the variable.
Step 1: Distribute the 4 to the terms inside the parentheses:
4 * h - 4 * 7 - 10 = 18
Step 2: Simplify the equation:
4h - 28 - 10 = 18
Step 3: Combine the like terms:
4h - 38 = 18
Step 4: To isolate the variable, we need to get rid of the constant term (-38) on the left side. To do this, we can add 38 to both sides of the equation:
4h - 38 + 38 = 18 + 38
Simplifying further:
4h = 56
Step 5: Finally, divide both sides of the equation by 4 to solve for h:
4h/4 = 56/4
Simplifying further:
h = 14
Therefore, the solution to the equation 4(h - 7) - 10 = 18 is x = 14.
To solve the equation 4(h - 7) - 10 = 18 and find the value of x, we will follow these steps:
Step 1: Distribute the 4 to the terms inside the parentheses.
4(h - 7) - 10 = 18
4h - 28 - 10 = 18
Simplifying this, we get:
4h - 38 = 18
Step 2: Isolate the variable term, which is 4h, by moving other terms to the opposite side of the equation.
4h - 38 = 18
Adding 38 to both sides:
4h = 18 + 38
4h = 56
Step 3: Solve for h by dividing both sides of the equation by 4.
4h = 56
Divide both sides by 4:
h = 56/4
h = 14
Therefore, the solution to the equation 4(h - 7) - 10 = 18 is h = 14.