Question
Solve the equation
x=28
Evaluate
7x=x−24
Multiply both sides of the equation by LCD
7x×7=(x−24)×7
Simplify the equation
x=(x−24)×7
Simplify the equation
More Steps

Evaluate
(x−24)×7
Apply the distributive property
x×7−24×7
Use the commutative property to reorder the terms
7x−24×7
Multiply the numbers
7x−168
x=7x−168
Move the variable to the left side
x−7x=−168
Subtract the terms
More Steps

Evaluate
x−7x
Collect like terms by calculating the sum or difference of their coefficients
(1−7)x
Subtract the numbers
−6x
−6x=−168
Change the signs on both sides of the equation
6x=168
Divide both sides
66x=6168
Divide the numbers
x=6168
Solution
More Steps

Evaluate
6168
Reduce the numbers
128
Calculate
28
x=28
Show Solution

Rewrite the equation
x=28
Evaluate
7x=x−24
Reduce the fraction
71x=x−24
Multiply both sides of the equation by LCD
x=7x−168
Move the variable to the left side
−6x=−168
Multiply both sides
6x=168
Solution
x=28
Show Solution
