Question
Solve the equation
x=−81
Alternative Form
x=−0.125
Evaluate
−2(1−4x)=3x×8
Multiply the terms
−2(1−4x)=24x
Expand the expression
More Steps

Evaluate
−2(1−4x)
Apply the distributive property
−2×1−(−2×4x)
Any expression multiplied by 1 remains the same
−2−(−2×4x)
Multiply the numbers
−2−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2+8x
−2+8x=24x
Move the variable to the left side
−2+8x−24x=0
Subtract the terms
More Steps

Evaluate
8x−24x
Collect like terms by calculating the sum or difference of their coefficients
(8−24)x
Subtract the numbers
−16x
−2−16x=0
Move the constant to the right side
−16x=0+2
Removing 0 doesn't change the value,so remove it from the expression
−16x=2
Change the signs on both sides of the equation
16x=−2
Divide both sides
1616x=16−2
Divide the numbers
x=16−2
Solution
More Steps

Evaluate
16−2
Cancel out the common factor 2
8−1
Use b−a=−ba=−ba to rewrite the fraction
−81
x=−81
Alternative Form
x=−0.125
Show Solution

Rewrite the equation
8x=−1
Evaluate
−2(1−4x)=3x×8
Evaluate
−2(1−4x)=24x
Multiply
More Steps

Evaluate
−2(1−4x)
Apply the distributive property
−2×1−(−2×4x)
Any expression multiplied by 1 remains the same
−2−(−2×4x)
Multiply the numbers
−2−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2+8x
−2+8x=24x
Move the variable to the left side
−2−16x=0
Move the constant to the right side
−16x=2
Multiply both sides
16x=−2
Solution
8x=−1
Show Solution
