Question
Solve the equation
x=1345
Alternative Form
x=3.4˙61538˙
Evaluate
x=31(45−10x)
Multiply the terms
More Steps

Evaluate
31(45−10x)
Apply the distributive property
31×45−31×10x
Multiply the numbers
More Steps

Evaluate
31×45
Reduce the numbers
1×15
Simplify
15
15−31×10x
Multiply the numbers
15−310x
x=15−310x
Move the variable to the left side
x+310x=15
Add the terms
More Steps

Evaluate
x+310x
Collect like terms by calculating the sum or difference of their coefficients
(1+310)x
Add the numbers
More Steps

Evaluate
1+310
Reduce fractions to a common denominator
33+310
Write all numerators above the common denominator
33+10
Add the numbers
313
313x
313x=15
Multiply by the reciprocal
313x×133=15×133
Multiply
x=15×133
Solution
More Steps

Evaluate
15×133
Multiply the numbers
1315×3
Multiply the numbers
1345
x=1345
Alternative Form
x=3.4˙61538˙
Show Solution

Rewrite the equation
13x=45
Evaluate
x=31(45−10x)
Evaluate
More Steps

Evaluate
31(45−10x)
Apply the distributive property
31×45−31×10x
Multiply the numbers
More Steps

Evaluate
31×45
Reduce the numbers
1×15
Simplify
15
15−31×10x
Multiply the numbers
15−310x
x=15−310x
Multiply both sides of the equation by LCD
3x=45−10x
Solution
13x=45
Show Solution
