# Solve for x 520/(210+x)=320/(210-x)

520210+x=320210-x
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
520⋅(210-x)=(210+x)⋅320
Solve the equation for x.
Simplify 520⋅(210-x).
Apply the distributive property.
520⋅210+520(-x)=(210+x)⋅320
Multiply.
Multiply 520 by 210.
109200+520(-x)=(210+x)⋅320
Multiply -1 by 520.
109200-520x=(210+x)⋅320
109200-520x=(210+x)⋅320
109200-520x=(210+x)⋅320
Simplify (210+x)⋅320.
Apply the distributive property.
109200-520x=210⋅320+x⋅320
Simplify the expression.
Multiply 210 by 320.
109200-520x=67200+x⋅320
Move 320 to the left of x.
109200-520x=67200+320x
109200-520x=67200+320x
109200-520x=67200+320x
Move all terms containing x to the left side of the equation.
Subtract 320x from both sides of the equation.
109200-520x-320x=67200
Subtract 320x from -520x.
109200-840x=67200
109200-840x=67200
Move all terms not containing x to the right side of the equation.
Subtract 109200 from both sides of the equation.
-840x=67200-109200
Subtract 109200 from 67200.
-840x=-42000
-840x=-42000
Divide each term by -840 and simplify.
Divide each term in -840x=-42000 by -840.
-840x-840=-42000-840
Cancel the common factor of -840.
Cancel the common factor.
-840x-840=-42000-840
Divide x by 1.
x=-42000-840
x=-42000-840
Divide -42000 by -840.
x=50
x=50
x=50
Solve for x 520/(210+x)=320/(210-x)