Question
Solve the equation
x1=7271,x2=7273
Alternative Form
x1=0.9861˙,x2=1.0138˙
Evaluate
∣3x−3∣×48=2
Multiply the terms
48∣3x−3∣=2
Divide both sides
4848∣3x−3∣=482
Divide the numbers
∣3x−3∣=482
Cancel out the common factor 2
∣3x−3∣=241
Separate the equation into 2 possible cases
3x−3=2413x−3=−241
Solve the equation for x
More Steps

Evaluate
3x−3=241
Move the constant to the right-hand side and change its sign
3x=241+3
Add the numbers
More Steps

Evaluate
241+3
Reduce fractions to a common denominator
241+243×24
Write all numerators above the common denominator
241+3×24
Multiply the numbers
241+72
Add the numbers
2473
3x=2473
Multiply by the reciprocal
3x×31=2473×31
Multiply
x=2473×31
Multiply
More Steps

Evaluate
2473×31
To multiply the fractions,multiply the numerators and denominators separately
24×373
Multiply the numbers
7273
x=7273
x=72733x−3=−241
Solve the equation for x
More Steps

Evaluate
3x−3=−241
Move the constant to the right-hand side and change its sign
3x=−241+3
Add the numbers
More Steps

Evaluate
−241+3
Reduce fractions to a common denominator
−241+243×24
Write all numerators above the common denominator
24−1+3×24
Multiply the numbers
24−1+72
Add the numbers
2471
3x=2471
Multiply by the reciprocal
3x×31=2471×31
Multiply
x=2471×31
Multiply
More Steps

Evaluate
2471×31
To multiply the fractions,multiply the numerators and denominators separately
24×371
Multiply the numbers
7271
x=7271
x=7273x=7271
Solution
x1=7271,x2=7273
Alternative Form
x1=0.9861˙,x2=1.0138˙
Show Solution
