Question
Solve the equation
Solve for x
x=50
Evaluate
(99−x)×50=(100−x)×49
Multiply the terms
50(99−x)=(100−x)×49
Multiply the terms
50(99−x)=49(100−x)
Calculate
More Steps
Evaluate
50(99−x)
Apply the distributive property
50×99−50x
Multiply the numbers
4950−50x
4950−50x=49(100−x)
Calculate
More Steps
Evaluate
49(100−x)
Apply the distributive property
49×100−49x
Multiply the numbers
4900−49x
4950−50x=4900−49x
Move the expression to the left side
4950−50x−(4900−49x)=0
Calculate
More Steps
Add the terms
4950−50x−(4900−49x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4950−50x−4900+49x
Subtract the numbers
50−50x+49x
Add the terms
More Steps
Evaluate
−50x+49x
Collect like terms by calculating the sum or difference of their coefficients
(−50+49)x
Add the numbers
−x
50−x
50−x=0
Move the constant to the right-hand side and change its sign
−x=0−50
Removing 0 doesn't change the value,so remove it from the expression
−x=−50
Solution
x=50
Show Solution
Rewrite the equation
Rewrite in standard form
x=50
Evaluate
(99−x)×50=(100−x)×49
Evaluate
50(99−x)=(100−x)×49
Evaluate
50(99−x)=49(100−x)
Multiply
More Steps
Evaluate
50(99−x)
Apply the distributive property
50×99−50x
Multiply the numbers
4950−50x
4950−50x=49(100−x)
Multiply
More Steps
Evaluate
49(100−x)
Apply the distributive property
49×100−49x
Multiply the numbers
4900−49x
4950−50x=4900−49x
Move the variable to the left side
4950−x=4900
Move the constant to the right side
−x=−50
Solution
x=50
Show Solution