Question
Solve the equation
x=180
Evaluate
180−x=90−2x
Multiply both sides of the equation by LCD
(180−x)×2=(90−2x)×2
Simplify the equation
More Steps

Evaluate
(180−x)×2
Apply the distributive property
180×2−x×2
Multiply the numbers
360−x×2
Use the commutative property to reorder the terms
360−2x
360−2x=(90−2x)×2
Simplify the equation
More Steps

Evaluate
(90−2x)×2
Apply the distributive property
90×2−2x×2
Simplify
90×2−x
Multiply the numbers
180−x
360−2x=180−x
Move the expression to the left side
360−2x+x=180
Move the expression to the right side
−2x+x=180−360
Add and subtract
More Steps

Evaluate
−2x+x
Collect like terms by calculating the sum or difference of their coefficients
(−2+1)x
Add the numbers
−x
−x=180−360
Add and subtract
−x=−180
Solution
x=180
Show Solution

Rewrite the equation
x=180
Evaluate
180−x=90−2x
Rewrite the expression
More Steps

Evaluate
−2x
Use b−a=−ba=−ba to rewrite the fraction
2−x
Reduce the fraction
−21x
180−x=90−21x
Multiply both sides of the equation by LCD
360−2x=180−x
Move the variable to the left side
360−x=180
Move the constant to the right side
−x=−180
Solution
x=180
Show Solution
