Question
Solve the equation
x=1033
Alternative Form
x=3.3
Evaluate
4−3x=x−52
Multiply both sides of the equation by LCD
(4−3x)×15=(x−52)×15
Simplify the equation
More Steps

Evaluate
(4−3x)×15
Apply the distributive property
4×15−3x×15
Simplify
4×15−x×5
Multiply the numbers
60−x×5
Use the commutative property to reorder the terms
60−5x
60−5x=(x−52)×15
Simplify the equation
More Steps

Evaluate
(x−52)×15
Apply the distributive property
x×15−52×15
Simplify
x×15−2×3
Use the commutative property to reorder the terms
15x−2×3
Multiply the numbers
15x−6
60−5x=15x−6
Move the expression to the left side
60−5x−15x=−6
Move the expression to the right side
−5x−15x=−6−60
Add and subtract
More Steps

Evaluate
−5x−15x
Collect like terms by calculating the sum or difference of their coefficients
(−5−15)x
Subtract the numbers
−20x
−20x=−6−60
Add and subtract
−20x=−66
Change the signs on both sides of the equation
20x=66
Divide both sides
2020x=2066
Divide the numbers
x=2066
Solution
x=1033
Alternative Form
x=3.3
Show Solution

Rewrite the equation
10x=33
Evaluate
4−3x=x−52
Rewrite the expression
More Steps

Evaluate
−3x
Use b−a=−ba=−ba to rewrite the fraction
3−x
Reduce the fraction
−31x
4−31x=x−52
Multiply both sides of the equation by LCD
60−5x=15x−6
Move the variable to the left side
60−20x=−6
Move the constant to the right side
−20x=−66
Multiply both sides
20x=66
Solution
10x=33
Show Solution
