Question
Solve the equation
x=6
Evaluate
(x−6)×5=(x−6)×4
Multiply the terms
5(x−6)=(x−6)×4
Multiply the terms
5(x−6)=4(x−6)
Calculate
More Steps

Evaluate
5(x−6)
Apply the distributive property
5x−5×6
Multiply the numbers
5x−30
5x−30=4(x−6)
Calculate
More Steps

Evaluate
4(x−6)
Apply the distributive property
4x−4×6
Multiply the numbers
4x−24
5x−30=4x−24
Move the expression to the left side
5x−30−(4x−24)=0
Calculate
More Steps

Add the terms
5x−30−(4x−24)
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−30−4x+24
Subtract the terms
More Steps

Evaluate
5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(5−4)x
Subtract the numbers
x
x−30+24
Add the numbers
x−6
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Solution
x=6
Show Solution

Rewrite the equation
x=6
Evaluate
(x−6)×5=(x−6)×4
Evaluate
5(x−6)=(x−6)×4
Evaluate
5(x−6)=4(x−6)
Multiply
More Steps

Evaluate
5(x−6)
Apply the distributive property
5x−5×6
Multiply the numbers
5x−30
5x−30=4(x−6)
Multiply
More Steps

Evaluate
4(x−6)
Apply the distributive property
4x−4×6
Multiply the numbers
4x−24
5x−30=4x−24
Move the variable to the left side
x−30=−24
Solution
x=6
Show Solution
