Question
Solve the equation
x=103
Alternative Form
x=0.3
Evaluate
x−159=2x−109
Cancel out the common factor 3
x−53=2x−109
Multiply both sides of the equation by LCM
(x−53)×10=(2x−109)×10
Calculate
More Steps

Evaluate
(x−53)×10
Apply the distributive property
x×10−53×10
Use the commutative property to reorder the terms
10x−53×10
Multiply the numbers
More Steps

Evaluate
−53×10
Reduce the numbers
−3×2
Multiply the numbers
−6
10x−6
10x−6=(2x−109)×10
Calculate
More Steps

Evaluate
(2x−109)×10
Apply the distributive property
2x×10−109×10
Multiply the numbers
20x−109×10
Multiply the numbers
More Steps

Evaluate
−109×10
Reduce the numbers
−9×1
Simplify
−9
20x−9
10x−6=20x−9
Move the expression to the left side
10x−6−20x=−9
Move the expression to the right side
10x−20x=−9+6
Add and subtract
More Steps

Evaluate
10x−20x
Collect like terms by calculating the sum or difference of their coefficients
(10−20)x
Subtract the numbers
−10x
−10x=−9+6
Add and subtract
−10x=−3
Change the signs on both sides of the equation
10x=3
Divide both sides
1010x=103
Solution
x=103
Alternative Form
x=0.3
Show Solution

Rewrite the equation
10x=3
Evaluate
x−159=2x−109
Cancel out the common factor 3
x−53=2x−109
Multiply both sides of the equation by LCD
10x−6=20x−9
Move the variable to the left side
−10x−6=−9
Move the constant to the right side
−10x=−3
Solution
10x=3
Show Solution
