Question
Solve the equation
x=1425
Alternative Form
x=1.78˙57142˙
Evaluate
2x−43+x−21=5−2x
Calculate the sum or difference
More Steps

Evaluate
2x−43+x−21
Add the terms
More Steps

Evaluate
2x+x
Collect like terms by calculating the sum or difference of their coefficients
(2+1)x
Add the numbers
3x
3x−43−21
Subtract the numbers
More Steps

Evaluate
−43−21
Reduce fractions to a common denominator
−43−2×22
Multiply the numbers
−43−42
Write all numerators above the common denominator
4−3−2
Subtract the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
3x−45
3x−45=5−2x
Multiply both sides of the equation by LCD
(3x−45)×4=(5−2x)×4
Simplify the equation
More Steps

Evaluate
(3x−45)×4
Apply the distributive property
3x×4−45×4
Simplify
3x×4−5
Multiply the numbers
12x−5
12x−5=(5−2x)×4
Simplify the equation
More Steps

Evaluate
(5−2x)×4
Apply the distributive property
5×4−2x×4
Simplify
5×4−x×2
Multiply the numbers
20−x×2
Use the commutative property to reorder the terms
20−2x
12x−5=20−2x
Move the expression to the left side
12x−5+2x=20
Move the expression to the right side
12x+2x=20+5
Add and subtract
More Steps

Evaluate
12x+2x
Collect like terms by calculating the sum or difference of their coefficients
(12+2)x
Add the numbers
14x
14x=20+5
Add and subtract
14x=25
Divide both sides
1414x=1425
Solution
x=1425
Alternative Form
x=1.78˙57142˙
Show Solution

Rewrite the equation
14x=25
Evaluate
2x−43+x−21=5−2x
Evaluate
More Steps

Evaluate
2x−43+x−21
Add the terms
More Steps

Evaluate
2x+x
Collect like terms by calculating the sum or difference of their coefficients
(2+1)x
Add the numbers
3x
3x−43−21
Subtract the numbers
More Steps

Evaluate
−43−21
Reduce fractions to a common denominator
−43−2×22
Multiply the numbers
−43−42
Write all numerators above the common denominator
4−3−2
Subtract the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
3x−45
3x−45=5−2x
Rewrite the expression
More Steps

Evaluate
−2x
Use b−a=−ba=−ba to rewrite the fraction
2−x
Reduce the fraction
−21x
3x−45=5−21x
Multiply both sides of the equation by LCD
12x−5=20−2x
Move the variable to the left side
14x−5=20
Solution
14x=25
Show Solution
