Question
Solve the equation
x=265
Alternative Form
x=32.5
Evaluate
5(x−40)=3(20−x)
Calculate
More Steps

Evaluate
5(x−40)
Apply the distributive property
5x−5×40
Multiply the numbers
5x−200
5x−200=3(20−x)
Calculate
More Steps

Evaluate
3(20−x)
Apply the distributive property
3×20−3x
Multiply the numbers
60−3x
5x−200=60−3x
Move the expression to the left side
5x−200−(60−3x)=0
Calculate
More Steps

Add the terms
5x−200−(60−3x)
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−200−60+3x
Add the terms
More Steps

Evaluate
5x+3x
Collect like terms by calculating the sum or difference of their coefficients
(5+3)x
Add the numbers
8x
8x−200−60
Subtract the numbers
8x−260
8x−260=0
Move the constant to the right-hand side and change its sign
8x=0+260
Removing 0 doesn't change the value,so remove it from the expression
8x=260
Divide both sides
88x=8260
Divide the numbers
x=8260
Solution
x=265
Alternative Form
x=32.5
Show Solution

Rewrite the equation
2x=65
Evaluate
5(x−40)=3(20−x)
Multiply
More Steps

Evaluate
5(x−40)
Apply the distributive property
5x−5×40
Multiply the numbers
5x−200
5x−200=3(20−x)
Multiply
More Steps

Evaluate
3(20−x)
Apply the distributive property
3×20−3x
Multiply the numbers
60−3x
5x−200=60−3x
Move the variable to the left side
8x−200=60
Move the constant to the right side
8x=260
Solution
2x=65
Show Solution
