I need help with this problem - tried working
5(2x - 10)÷ 2 + 14 = 19
5(2x - 10)÷ 2 = 5
(2x - 10)÷ 2 = 1
2x -10 = 2
x = 6
I want to make sure I understand this- so 5X2x = 10x and 5x10 = 50
so now the problem looks like this
(10x - 50)÷ 2+14 = 19
To solve this problem, we need to follow a sequence of steps. Let's break it down.
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have 2x - 10. Distribute the 5 to each term inside the parentheses:
5 * 2x = 10x
5 * (-10) = -50
So, 5(2x - 10) simplifies to 10x - 50.
Step 2: Solve the expression on the left side of the equation.
Now, let's substitute 10x - 50 back into the original equation:
(10x - 50) ÷ 2 + 14 = 19.
Step 3: Simplify further.
Divide (10x - 50) by 2:
(10x - 50) ÷ 2 = 5x - 25.
Step 4: Rewrite the equation.
Our equation becomes:
(5x - 25) + 14 = 19.
Step 5: Combine like terms.
Now, let's simplify the left side of the equation:
5x - 25 + 14 = 19.
Combine -25 and 14: -25 + 14 = -11.
So we have: 5x - 11 = 19.
Step 6: Solving for x.
To solve for x, we want to isolate the x term. First, let's move -11 to the other side of the equation by adding 11:
5x - 11 + 11 = 19 + 11.
This simplifies to: 5x = 30.
Step 7: Divide by 5.
To solve for x, divide both sides of the equation by 5:
(5x)/5 = 30/5.
This simplifies to: x = 6.
Therefore, the solution to the equation 5(2x - 10) ÷ 2 + 14 = 19 is x = 6.