Question
Solve the equation
x=11599
Alternative Form
x≈0.86087
Evaluate
2x×2119−2×2317=2x×337−2×355
Simplify
More Steps

Evaluate
2x×2119−2×2317
Multiply the terms
2138x−2×2317
Multiply the numbers
More Steps

Evaluate
2×2317
Multiply the numbers
232×17
Multiply the numbers
2334
2138x−2334
2138x−2334=2x×337−2×355
Simplify
More Steps

Evaluate
2x×337−2×355
Cancel out the common factor 5
2x×337−2×71
Multiply the terms
3314x−2×71
Multiply the numbers
3314x−72
2138x−2334=3314x−72
Multiply both sides of the equation by LCM
(2138x−2334)×5313=(3314x−72)×5313
Calculate
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Evaluate
(2138x−2334)×5313
Apply the distributive property
2138x×5313−2334×5313
Multiply the numbers
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Evaluate
2138×5313
Reduce the numbers
38×253
Multiply the numbers
9614
9614x−2334×5313
Multiply the numbers
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Evaluate
−2334×5313
Reduce the numbers
−34×231
Multiply the numbers
−7854
9614x−7854
9614x−7854=(3314x−72)×5313
Calculate
More Steps

Evaluate
(3314x−72)×5313
Apply the distributive property
3314x×5313−72×5313
Multiply the numbers
More Steps

Evaluate
3314×5313
Reduce the numbers
14×161
Multiply the numbers
2254
2254x−72×5313
Multiply the numbers
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Evaluate
−72×5313
Reduce the numbers
−2×759
Multiply the numbers
−1518
2254x−1518
9614x−7854=2254x−1518
Move the expression to the left side
9614x−7854−2254x=−1518
Move the expression to the right side
9614x−2254x=−1518+7854
Add and subtract
More Steps

Evaluate
9614x−2254x
Collect like terms by calculating the sum or difference of their coefficients
(9614−2254)x
Subtract the numbers
7360x
7360x=−1518+7854
Add and subtract
7360x=6336
Divide both sides
73607360x=73606336
Divide the numbers
x=73606336
Solution
x=11599
Alternative Form
x≈0.86087
Show Solution

Rewrite the equation
115x=99
Evaluate
2x×2119−2×2317=2x×337−2×355
Evaluate
More Steps

Evaluate
2x×2119−2×2317
Multiply the terms
2138x−2×2317
Multiply the numbers
More Steps

Evaluate
2×2317
Multiply the numbers
232×17
Multiply the numbers
2334
2138x−2334
2138x−2334=2x×337−2×355
Evaluate
More Steps

Evaluate
2x×337−2×355
Cancel out the common factor 5
2x×337−2×71
Multiply the terms
3314x−2×71
Multiply the numbers
3314x−72
2138x−2334=3314x−72
Multiply both sides of the equation by LCD
9614x−7854=2254x−1518
Move the variable to the left side
7360x−7854=−1518
Move the constant to the right side
7360x=6336
Solution
115x=99
Show Solution
