Question
Solve the equation
x=821
Alternative Form
x=2.625
Evaluate
6x×77−3=5x−83
Simplify
More Steps

Evaluate
6x×77−3
Divide the terms
6x×1−3
Multiply the terms
6x−3
6x−3=5x−83
Multiply both sides of the equation by LCM
(6x−3)×8=(5x−83)×8
Calculate
More Steps

Evaluate
(6x−3)×8
Apply the distributive property
6x×8−3×8
Multiply the numbers
48x−3×8
Multiply the numbers
48x−24
48x−24=(5x−83)×8
Calculate
More Steps

Evaluate
(5x−83)×8
Apply the distributive property
5x×8−83×8
Multiply the numbers
40x−83×8
Multiply the numbers
More Steps

Evaluate
−83×8
Reduce the numbers
−3×1
Simplify
−3
40x−3
48x−24=40x−3
Move the expression to the left side
48x−24−40x=−3
Move the expression to the right side
48x−40x=−3+24
Add and subtract
More Steps

Evaluate
48x−40x
Collect like terms by calculating the sum or difference of their coefficients
(48−40)x
Subtract the numbers
8x
8x=−3+24
Add and subtract
8x=21
Divide both sides
88x=821
Solution
x=821
Alternative Form
x=2.625
Show Solution

Rewrite the equation
8x=21
Evaluate
6x×77−3=5x−83
Evaluate
More Steps

Evaluate
6x×77−3
Divide the terms
6x×1−3
Multiply the terms
6x−3
6x−3=5x−83
Multiply both sides of the equation by LCD
48x−24=40x−3
Move the variable to the left side
8x−24=−3
Solution
8x=21
Show Solution
