Question
Solve the equation
x1=67,x2=617
Alternative Form
x1=1.16˙,x2=2.83˙
Evaluate
∣2x−4∣×3=5
Multiply the terms
3∣2x−4∣=5
Divide both sides
33∣2x−4∣=35
Divide the numbers
∣2x−4∣=35
Separate the equation into 2 possible cases
2x−4=352x−4=−35
Solve the equation for x
More Steps

Evaluate
2x−4=35
Move the constant to the right-hand side and change its sign
2x=35+4
Add the numbers
More Steps

Evaluate
35+4
Reduce fractions to a common denominator
35+34×3
Write all numerators above the common denominator
35+4×3
Multiply the numbers
35+12
Add the numbers
317
2x=317
Multiply by the reciprocal
2x×21=317×21
Multiply
x=317×21
Multiply
More Steps

Evaluate
317×21
To multiply the fractions,multiply the numerators and denominators separately
3×217
Multiply the numbers
617
x=617
x=6172x−4=−35
Solve the equation for x
More Steps

Evaluate
2x−4=−35
Move the constant to the right-hand side and change its sign
2x=−35+4
Add the numbers
More Steps

Evaluate
−35+4
Reduce fractions to a common denominator
−35+34×3
Write all numerators above the common denominator
3−5+4×3
Multiply the numbers
3−5+12
Add the numbers
37
2x=37
Multiply by the reciprocal
2x×21=37×21
Multiply
x=37×21
Multiply
More Steps

Evaluate
37×21
To multiply the fractions,multiply the numerators and denominators separately
3×27
Multiply the numbers
67
x=67
x=617x=67
Solution
x1=67,x2=617
Alternative Form
x1=1.16˙,x2=2.83˙
Show Solution
