What is the solution of the equation 2/5x+4=1/5 ?(1 point)
To solve the equation, we can start by isolating the variable x.
First, subtract 4 from both sides of the equation:
2/5x + 4 - 4 = 1/5 - 4
2/5x = -19/5
Next, to remove the fraction, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
x = -19/2
Therefore, the solution to the equation is x = -19/2.
To solve the equation 2/5x + 4 = 1/5, we can follow these steps:
Step 1: Subtract 4 from both sides of the equation to isolate the term with x:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
Step 2: Simplify the right side of the equation:
2/5x = -19/5
Step 3: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2) * (2/5x) = (5/2) * (-19/5)
x = (-19/5) * (5/2)
Step 4: Simplify the right side of the equation:
x = -19/2
So, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.
To find the solution for the equation 2/5x + 4 = 1/5, you need to isolate the variable x.
First, subtract 4 from both sides of the equation to get rid of the constant term on the left side:
2/5x + 4 - 4 = 1/5 - 4
Simplifying:
2/5x = 1/5 - 20/5
Next, combine the fractions on the right side of the equation:
2/5x = -19/5
Now, to isolate x, multiply both sides of the equation by 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
Simplifying:
x = -19/2
Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.