5(2x - 10)/2 + 14 = 19
Tried working this, need help-please
5x-50/2 or 10x - 50/2
5*(2x-10)/2+14=19
5*(2x-10)/2=19-14
5*(2x-10)/2=5 Multiply with 2
5*(2x-10)=5*2
5*2x-5*10)=10
10*x-50=10
10*x=10+50
10*x=60 Diwide with 10
x=6
Proof:
5*(2*6-10)/2+14=5*(12-10)/2+14=5*2/2+14=5+14=19
To solve the equation 5(2x - 10)/2 + 14 = 19, you need to apply the order of operations (also known as PEMDAS). Here's how you can simplify and solve the equation step by step:
Step 1: Simplify the expression within the parentheses.
Inside the parentheses, you have 2x - 10. To simplify it, distribute the 5 to both terms inside the parentheses:
5 * 2x = 10x
5 * (-10) = -50
Step 2: Simplify the fraction.
Now you have (10x - 50)/2. You can divide both terms inside the fraction by 2:
10x/2 = 5x
-50/2 = -25
Step 3: Substitute the simplified expression back into the equation.
Replace (2x - 10)/2 with 5x - 25 in the original equation:
5x - 25 + 14 = 19
Step 4: Combine like terms.
The left side of the equation now becomes 5x - 11:
5x - 11 = 19
Step 5: Isolate the variable.
To isolate the variable x, you need to get rid of the constant term (-11). To do that, you can add 11 to both sides of the equation:
5x - 11 + 11 = 19 + 11
5x = 30
Step 6: Solve for x.
Finally, divide both sides of the equation by 5 to solve for x:
5x/5 = 30/5
x = 6
Therefore, the solution to the original equation is x = 6.