Question
Solve the equation
x=−49971332634940
Alternative Form
x≈−0.52729
Evaluate
x−591x−582x−573=x−564x−555x−546
Cancel equal terms on both sides of the expression
−591x−582x−573=−564x−555x−546
Simplify
More Steps

Evaluate
−591x−582x−573
Cancel out the common factor 2
−591x−291x−573
Cancel out the common factor 3
−591x−291x−191
Subtract the terms
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Evaluate
−591x−291x
Collect like terms by calculating the sum or difference of their coefficients
(−591−291)x
Subtract the numbers
−171188x
−171188x−191
−171188x−191=−564x−555x−546
Simplify
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Evaluate
−564x−555x−546
Cancel out the common factor 4
−141x−555x−546
Cancel out the common factor 5
−141x−111x−546
Cancel out the common factor 6
−141x−111x−91
Subtract the terms
More Steps

Evaluate
−141x−111x
Collect like terms by calculating the sum or difference of their coefficients
(−141−111)x
Subtract the numbers
−15425x
−15425x−91
−171188x−191=−15425x−91
Multiply both sides of the equation by LCM
(−171188x−191)×45057474=(−15425x−91)×45057474
Calculate
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Evaluate
(−171188x−191)×45057474
Apply the distributive property
−171188x×45057474−191×45057474
Multiply the numbers
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Evaluate
−171188×45057474
Reduce the numbers
−88×26334
Multiply the numbers
−2317392
−2317392x−191×45057474
Multiply the numbers
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Evaluate
−191×45057474
Reduce the numbers
−1×2371446
Simplify
−2371446
−2317392x−2371446
−2317392x−2371446=(−15425x−91)×45057474
Calculate
More Steps

Evaluate
(−15425x−91)×45057474
Apply the distributive property
−15425x×45057474−91×45057474
Multiply the numbers
More Steps

Evaluate
−15425×45057474
Reduce the numbers
−25×292581
Multiply the numbers
−7314525
−7314525x−91×45057474
Multiply the numbers
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Evaluate
−91×45057474
Reduce the numbers
−1×5006386
Simplify
−5006386
−7314525x−5006386
−2317392x−2371446=−7314525x−5006386
Move the expression to the left side
−2317392x−2371446+7314525x=−5006386
Move the expression to the right side
−2317392x+7314525x=−5006386+2371446
Add and subtract
More Steps

Evaluate
−2317392x+7314525x
Collect like terms by calculating the sum or difference of their coefficients
(−2317392+7314525)x
Add the numbers
4997133x
4997133x=−5006386+2371446
Add and subtract
4997133x=−2634940
Divide both sides
49971334997133x=4997133−2634940
Divide the numbers
x=4997133−2634940
Solution
x=−49971332634940
Alternative Form
x≈−0.52729
Show Solution

Rewrite the equation
4997133x=−2634940
Evaluate
x−591x−582x−573=x−564x−555x−546
Evaluate
More Steps

Evaluate
x−591x−582x−573
Cancel out the common factor 2
x−591x−291x−573
Cancel out the common factor 3
x−591x−291x−191
Subtract the terms
More Steps

Evaluate
x−591x−291x
Collect like terms by calculating the sum or difference of their coefficients
(1−591−291)x
Subtract the numbers
17111623x
17111623x−191
17111623x−191=x−564x−555x−546
Evaluate
More Steps

Evaluate
x−564x−555x−546
Cancel out the common factor 4
x−141x−555x−546
Cancel out the common factor 5
x−141x−111x−546
Cancel out the common factor 6
x−141x−111x−91
Subtract the terms
More Steps

Evaluate
x−141x−111x
Collect like terms by calculating the sum or difference of their coefficients
(1−141−111)x
Subtract the numbers
154129x
154129x−91
17111623x−191=154129x−91
Multiply both sides of the equation by LCD
42740082x−2371446=37742949x−5006386
Move the variable to the left side
4997133x−2371446=−5006386
Solution
4997133x=−2634940
Show Solution
