Question
Solve the equation
x1=−1,x2=311
Alternative Form
x1=−1,x2=3.6˙
Evaluate
31−4x=127
Separate the equation into 2 possible cases
31−4x=12731−4x=−127
Solve the equation for x
More Steps

Evaluate
31−4x=127
Move the constant to the right-hand side and change its sign
−4x=127−31
Subtract the numbers
More Steps

Evaluate
127−31
Reduce fractions to a common denominator
127−3×44
Multiply the numbers
127−124
Write all numerators above the common denominator
127−4
Subtract the numbers
123
Cancel out the common factor 3
41
−4x=41
Rewrite the expression
4−x=41
Multiply both sides of the equation by 4
4−x×4=41×4
Multiply the terms
−x=1
Change the signs on both sides of the equation
x=−1
x=−131−4x=−127
Solve the equation for x
More Steps

Evaluate
31−4x=−127
Move the constant to the right-hand side and change its sign
−4x=−127−31
Subtract the numbers
More Steps

Evaluate
−127−31
Reduce fractions to a common denominator
−127−3×44
Multiply the numbers
−127−124
Write all numerators above the common denominator
12−7−4
Subtract the numbers
12−11
Use b−a=−ba=−ba to rewrite the fraction
−1211
−4x=−1211
Rewrite the expression
4−x=12−11
Multiply both sides of the equation by 4
4−x×4=12−11×4
Multiply the terms
−x=12−11×4
Divide the terms
−x=−311
Change the signs on both sides of the equation
x=311
x=−1x=311
Solution
x1=−1,x2=311
Alternative Form
x1=−1,x2=3.6˙
Show Solution
