Question
Solve the equation
x1=−2,x2=3
Evaluate
61−3x=65
Separate the equation into 2 possible cases
61−3x=6561−3x=−65
Solve the equation for x
More Steps

Evaluate
61−3x=65
Move the constant to the right-hand side and change its sign
−3x=65−61
Subtract the numbers
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Evaluate
65−61
Write all numerators above the common denominator
65−1
Subtract the numbers
64
Cancel out the common factor 2
32
−3x=32
Rewrite the expression
3−x=32
Multiply both sides of the equation by 3
3−x×3=32×3
Multiply the terms
−x=2
Change the signs on both sides of the equation
x=−2
x=−261−3x=−65
Solve the equation for x
More Steps

Evaluate
61−3x=−65
Move the constant to the right-hand side and change its sign
−3x=−65−61
Subtract the numbers
More Steps

Evaluate
−65−61
Write all numerators above the common denominator
6−5−1
Subtract the numbers
6−6
Reduce the numbers
1−1
Calculate
−1
−3x=−1
Rewrite the expression
3−x=−1
Cross multiply
−x=3(−1)
Simplify the equation
−x=−3
Change the signs on both sides of the equation
x=3
x=−2x=3
Solution
x1=−2,x2=3
Show Solution
