Question
Solve the equation
x=218
Alternative Form
x=0.3˙80952˙
Evaluate
5x−632−(4×2x)=2−x×37
Simplify
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Evaluate
5x−632−(4×2x)
Cancel out the common factor 2
5x−632−2x
Subtract the terms
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Evaluate
5x−2x
Collect like terms by calculating the sum or difference of their coefficients
(5−2)x
Subtract the numbers
3x
3x−632
3x−632=2−x×37
Use the commutative property to reorder the terms
3x−632=2−37x
Multiply both sides of the equation by LCM
(3x−632)×63=(2−37x)×63
Calculate
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Evaluate
(3x−632)×63
Apply the distributive property
3x×63−632×63
Multiply the numbers
189x−632×63
Multiply the numbers
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Evaluate
−632×63
Reduce the numbers
−2×1
Simplify
−2
189x−2
189x−2=(2−37x)×63
Calculate
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Evaluate
(2−37x)×63
Apply the distributive property
2×63−37x×63
Multiply the numbers
126−37x×63
Multiply the numbers
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Evaluate
−37×63
Reduce the numbers
−7×21
Multiply the numbers
−147
126−147x
189x−2=126−147x
Move the expression to the left side
189x−2+147x=126
Move the expression to the right side
189x+147x=126+2
Add and subtract
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Evaluate
189x+147x
Collect like terms by calculating the sum or difference of their coefficients
(189+147)x
Add the numbers
336x
336x=126+2
Add and subtract
336x=128
Divide both sides
336336x=336128
Divide the numbers
x=336128
Solution
x=218
Alternative Form
x=0.3˙80952˙
Show Solution

Rewrite the equation
21x=8
Evaluate
5x−632−(4×2x)=2−x×37
Evaluate
More Steps

Evaluate
5x−632−(4×2x)
Cancel out the common factor 2
5x−632−2x
Subtract the terms
More Steps

Evaluate
5x−2x
Collect like terms by calculating the sum or difference of their coefficients
(5−2)x
Subtract the numbers
3x
3x−632
3x−632=2−x×37
Use the commutative property to reorder the terms
3x−632=2−37x
Multiply both sides of the equation by LCD
189x−2=126−147x
Move the variable to the left side
336x−2=126
Move the constant to the right side
336x=128
Solution
21x=8
Show Solution
