Question
Solve the equation
x1=−1,x2=4
Evaluate
21−3x=65
Separate the equation into 2 possible cases
21−3x=6521−3x=−65
Solve the equation for x
More Steps

Evaluate
21−3x=65
Move the constant to the right-hand side and change its sign
−3x=65−21
Subtract the numbers
More Steps

Evaluate
65−21
Reduce fractions to a common denominator
65−2×33
Multiply the numbers
65−63
Write all numerators above the common denominator
65−3
Subtract the numbers
62
Cancel out the common factor 2
31
−3x=31
Rewrite the expression
3−x=31
Multiply both sides of the equation by 3
3−x×3=31×3
Multiply the terms
−x=1
Change the signs on both sides of the equation
x=−1
x=−121−3x=−65
Solve the equation for x
More Steps

Evaluate
21−3x=−65
Move the constant to the right-hand side and change its sign
−3x=−65−21
Subtract the numbers
More Steps

Evaluate
−65−21
Reduce fractions to a common denominator
−65−2×33
Multiply the numbers
−65−63
Write all numerators above the common denominator
6−5−3
Subtract the numbers
6−8
Cancel out the common factor 2
3−4
Use b−a=−ba=−ba to rewrite the fraction
−34
−3x=−34
Rewrite the expression
3−x=3−4
Multiply both sides of the equation by 3
3−x×3=3−4×3
Multiply the terms
−x=−4
Change the signs on both sides of the equation
x=4
x=−1x=4
Solution
x1=−1,x2=4
Show Solution
