Question
Solve the equation
x=−507
Alternative Form
x=−0.14
Evaluate
7x−3x=52
Multiply both sides of the equation by LCD
(7x−3x)×35=52×35
Simplify the equation
More Steps

Evaluate
(7x−3x)×35
Apply the distributive property
7x×35−3x×35
Simplify
x×5−3x×35
Use the commutative property to reorder the terms
5x−3x×35
Multiply the numbers
5x−105x
Collect like terms by calculating the sum or difference of their coefficients
(5−105)x
Subtract the numbers
−100x
−100x=52×35
Simplify the equation
More Steps

Evaluate
52×35
Simplify
2×7
Multiply the numbers
14
−100x=14
Change the signs on both sides of the equation
100x=−14
Divide both sides
100100x=100−14
Divide the numbers
x=100−14
Solution
More Steps

Evaluate
100−14
Cancel out the common factor 2
50−7
Use b−a=−ba=−ba to rewrite the fraction
−507
x=−507
Alternative Form
x=−0.14
Show Solution

Rewrite the equation
50x=−7
Evaluate
7x−3x=52
Rewrite the expression
71x−3x=52
Multiply both sides of the equation by LCD
−100x=14
Multiply both sides
100x=−14
Solution
50x=−7
Show Solution
