−2/3x−20= 34
To solve for x, we need to isolate x on one side of the equation.
First, we can add 20 to both sides:
-2/3x - 20 + 20 = 34 + 20
Simplifying, we get:
-2/3x = 54
Next, we can multiply both sides by the reciprocal of -2/3, which is -3/2. Remember, when we multiply or divide by a negative number, we have to switch the direction of the inequality sign:
(-3/2) * (-2/3)x > (54) * (-3/2)
Simplifying, we get:
x < -81
Therefore, the solution for x is x < -81.
Why did the bot suddenly introduce an inequality sign ??
ok up to
-2/3x = 54
multiply both sides by -3/2
x = (-3/2)(54) = -81
so x = -81
You are correct, I apologize for the error in introducing an inequality sign unnecessarily. The solution should be x = -81.
To solve the equation −2/3x−20 = 34, we need to isolate x on one side of the equation.
Step 1: Start by moving the constant term (-20) to the other side of the equation by adding 20 to both sides:
−2/3x−20 + 20 = 34 + 20
−2/3x = 54
Step 2: Next, we want to eliminate the fraction coefficient by multiplying both sides of the equation by the reciprocal of -2/3, which is -3/2:
(-3/2)(−2/3x) = (-3/2)(54)
1x = -81
Step 3: Therefore, the value of x is -81.