Question
Solve the equation
x=−52
Evaluate
(−94)(2x−4)=48
Simplify
More Steps

Evaluate
(−94)(2x−4)
Remove the parentheses
−94(2x−4)
Apply the distributive property
−94×2x−(−94×4)
Multiply the numbers
More Steps

Evaluate
−94×2
Multiply the numbers
−94×2
Multiply the numbers
−98
−98x−(−94×4)
Multiply the numbers
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Evaluate
−94×4
Multiply the numbers
−94×4
Multiply the numbers
−916
−98x−(−916)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−98x+916
−98x+916=48
Move the constant to the right-hand side and change its sign
−98x=48−916
Subtract the numbers
More Steps

Evaluate
48−916
Reduce fractions to a common denominator
948×9−916
Write all numerators above the common denominator
948×9−16
Multiply the numbers
9432−16
Subtract the numbers
9416
−98x=9416
Change the signs on both sides of the equation
98x=−9416
Multiply by the reciprocal
98x×89=−9416×89
Multiply
x=−9416×89
Solution
More Steps

Evaluate
−9416×89
Reduce the numbers
−952×9
Reduce the numbers
−52×1
Simplify
−52
x=−52
Show Solution

Rewrite the equation
x=−52
Evaluate
(−94)(2x−4)=48
Evaluate
More Steps

Evaluate
(−94)(2x−4)
Use the rules for multiplication and division
−94(2x−4)
Apply the distributive property
−94×2x−(−94×4)
Multiply the numbers
More Steps

Evaluate
−94×2
Multiply the numbers
−94×2
Multiply the numbers
−98
−98x−(−94×4)
Multiply the numbers
More Steps

Evaluate
−94×4
Multiply the numbers
−94×4
Multiply the numbers
−916
−98x−(−916)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−98x+916
−98x+916=48
Multiply both sides of the equation by LCD
−8x+16=432
Move the constant to the right side
−8x=416
Multiply both sides
8x=−416
Solution
x=−52
Show Solution
