Question
Solve the equation
x=28
Evaluate
2x−7x=10
Multiply both sides of the equation by LCD
(2x−7x)×14=10×14
Simplify the equation
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Evaluate
(2x−7x)×14
Apply the distributive property
2x×14−7x×14
Simplify
x×7−x×2
Use the commutative property to reorder the terms
7x−x×2
Use the commutative property to reorder the terms
7x−2x
Collect like terms by calculating the sum or difference of their coefficients
(7−2)x
Subtract the numbers
5x
5x=10×14
Simplify the equation
5x=140
Divide both sides
55x=5140
Divide the numbers
x=5140
Solution
More Steps

Evaluate
5140
Reduce the numbers
128
Calculate
28
x=28
Show Solution

Rewrite the equation
x=28
Evaluate
2x−7x=10
Rewrite the expression
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Evaluate
2x−7x
Reduce the fraction
21x−7x
Reduce the fraction
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Evaluate
−7x
Use b−a=−ba=−ba to rewrite the fraction
7−x
Reduce the fraction
−71x
21x−71x
21x−71x=10
Multiply both sides of the equation by LCD
5x=140
Solution
x=28
Show Solution
