Solve:
−4x+11=41
Responses
x=−152
x is equal to negative 15 halves
x=−15
, x is equal to negative 15
x=2
, x is equal to 2
x=152
x = 2
To solve the equation −4x+11=41, follow these steps:
Step 1: Move the constant term to the other side of the equation by subtracting 11 from both sides:
−4x + 11 - 11 = 41 - 11
−4x = 30
Step 2: Divide both sides of the equation by -4 to isolate the variable x:
(-4x) / -4 = 30 / -4
x = -30 / 4
Step 3: Simplify the fraction -30/4 by dividing the numerator and denominator by their greatest common divisor, which is 2:
x = -15/2
Therefore, x is equal to -15/2 or -7.5.
To solve the equation −4x + 11 = 41, you need to isolate the variable x.
Step 1: Subtract 11 from both sides of the equation.
−4x + 11 - 11 = 41 - 11
Simplifying, we get:
−4x = 30
Step 2: Divide both sides of the equation by -4 to solve for x.
(−4x)/-4 = 30/-4
x = -30/4
Simplifying the fraction, we get:
x = -15/2
So, the solution to the equation −4x + 11 = 41 is x = -15/2 or x = -7.5.