Question
Solve the equation
x=−1192
Alternative Form
x≈−0.016807
Evaluate
x−72−(35×2x)=2x×41
Multiply the terms
x−72−235x=2x×41
Multiply the terms
More Steps

Evaluate
2×41
Reduce the numbers
1×21
Multiply the numbers
21
x−72−235x=21x
Multiply both sides of the equation by LCD
(x−72−235x)×14=21x×14
Simplify the equation
More Steps

Evaluate
(x−72−235x)×14
Apply the distributive property
x×14−72×14−235x×14
Simplify
x×14−2×2−35x×7
Use the commutative property to reorder the terms
14x−2×2−35x×7
Multiply the numbers
14x−4−35x×7
Multiply the numbers
14x−4−245x
Subtract the terms
More Steps

Evaluate
14x−245x
Collect like terms by calculating the sum or difference of their coefficients
(14−245)x
Subtract the numbers
−231x
−231x−4
−231x−4=21x×14
Simplify the equation
More Steps

Evaluate
21x×14
Simplify
x×7
Use the commutative property to reorder the terms
7x
−231x−4=7x
Move the variable to the left side
−231x−4−7x=0
Subtract the terms
More Steps

Evaluate
−231x−7x
Collect like terms by calculating the sum or difference of their coefficients
(−231−7)x
Subtract the numbers
−238x
−238x−4=0
Move the constant to the right side
−238x=0+4
Removing 0 doesn't change the value,so remove it from the expression
−238x=4
Change the signs on both sides of the equation
238x=−4
Divide both sides
238238x=238−4
Divide the numbers
x=238−4
Solution
More Steps

Evaluate
238−4
Cancel out the common factor 2
119−2
Use b−a=−ba=−ba to rewrite the fraction
−1192
x=−1192
Alternative Form
x≈−0.016807
Show Solution

Rewrite the equation
119x=−2
Evaluate
x−72−(35×2x)=2x×41
Evaluate
x−72−235x=2x×41
Evaluate
More Steps

Evaluate
2x×41
Multiply the terms
More Steps

Evaluate
2×41
Reduce the numbers
1×21
Multiply the numbers
21
21x
x−72−235x=21x
Rewrite the expression
More Steps

Evaluate
−235x
Use b−a=−ba=−ba to rewrite the fraction
2−35x
Reduce the fraction
−235x
x−72−235x=21x
Multiply both sides of the equation by LCD
−231x−4=7x
Move the variable to the left side
−238x−4=0
Move the constant to the right side
−238x=4
Multiply both sides
238x=−4
Solution
119x=−2
Show Solution
