Question
Solve the equation
x=0
Evaluate
3x−3=5x−5
Cross multiply
(x−3)×5=3(x−5)
Simplify the equation
5(x−3)=3(x−5)
Calculate
More Steps

Evaluate
5(x−3)
Apply the distributive property
5x−5×3
Multiply the numbers
5x−15
5x−15=3(x−5)
Calculate
More Steps

Evaluate
3(x−5)
Apply the distributive property
3x−3×5
Multiply the numbers
3x−15
5x−15=3x−15
Move the expression to the left side
5x−15−(3x−15)=0
Calculate
More Steps

Add the terms
5x−15−(3x−15)
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−15−3x+15
Subtract the terms
More Steps

Evaluate
5x−3x
Collect like terms by calculating the sum or difference of their coefficients
(5−3)x
Subtract the numbers
2x
2x−15+15
Since two opposites add up to 0,remove them form the expression
2x
2x=0
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
3x−3=5x−5
Reduce the fraction
31x−1=5x−5
Reduce the fraction
31x−1=51x−1
Multiply both sides of the equation by LCD
5x−15=3x−15
Move the variable to the left side
2x−15=−15
Move the constant to the right side
2x=0
Solution
x=0
Show Solution
