Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=540
Evaluate
600−(6x−75)×30=150
Simplify
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Evaluate
600−(6x−75)×30
Multiply the terms
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Evaluate
(6x−75)×30
Use the the distributive property to expand the expression
6x×30−75×30
Multiply the terms
5x−75×30
Multiply the numbers
5x−2250
600−(5x−2250)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
600−5x+2250
Add the numbers
2850−5x
2850−5x=150
Move the constant to the right-hand side and change its sign
−5x=150−2850
Subtract the numbers
−5x=−2700
Change the signs on both sides of the equation
5x=2700
Divide both sides
55x=52700
Divide the numbers
x=52700
Solution
More Steps
Evaluate
52700
Reduce the numbers
1540
Calculate
540
x=540
Show Solution
Rewrite the equation
x=540
Evaluate
600−(6x−75)×30=150
Evaluate
More Steps
Evaluate
600−(6x−75)×30
Subtract the terms
More Steps
Simplify
6x−75
Reduce fractions to a common denominator
6x−675×6
Write all numerators above the common denominator
6x−75×6
Multiply the numbers
6x−450
600−6x−450×30
Multiply the terms
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Multiply the terms
6x−450×30
Cancel out the common factor 6
(x−450)×5
Multiply the terms
5(x−450)
600−5(x−450)
Expand the expression
More Steps
Calculate
−5(x−450)
Apply the distributive property
−5x−(−5×450)
Multiply the numbers
−5x−(−2250)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−5x+2250
600−5x+2250
Add the numbers
2850−5x
2850−5x=150
Move the constant to the right side
−5x=−2700
Multiply both sides
5x=2700
Solution
x=540
Show Solution
Graph
