Question
Solve the equation
x=8
Evaluate
45x−3=8−81x
Multiply both sides of the equation by LCM
(45x−3)×8=(8−81x)×8
Calculate
More Steps

Evaluate
(45x−3)×8
Apply the distributive property
45x×8−3×8
Multiply the numbers
More Steps

Evaluate
45×8
Reduce the numbers
5×2
Multiply the numbers
10
10x−3×8
Multiply the numbers
10x−24
10x−24=(8−81x)×8
Calculate
More Steps

Evaluate
(8−81x)×8
Apply the distributive property
8×8−81x×8
Multiply the numbers
64−81x×8
Multiply the numbers
More Steps

Evaluate
−81×8
Reduce the numbers
−1×1
Simplify
−1
64−x
10x−24=64−x
Move the expression to the left side
10x−24+x=64
Move the expression to the right side
10x+x=64+24
Add and subtract
More Steps

Evaluate
10x+x
Collect like terms by calculating the sum or difference of their coefficients
(10+1)x
Add the numbers
11x
11x=64+24
Add and subtract
11x=88
Divide both sides
1111x=1188
Divide the numbers
x=1188
Solution
More Steps

Evaluate
1188
Reduce the numbers
18
Calculate
8
x=8
Show Solution

Rewrite the equation
x=8
Evaluate
45x−3=8−81x
Multiply both sides of the equation by LCD
10x−24=64−x
Move the variable to the left side
11x−24=64
Move the constant to the right side
11x=88
Solution
x=8
Show Solution
