.38(25+X)=X

Solution for .38(25+X)=X equation:

Simplifying
0.38(25 + X) = X
(25 * 0.38 + X * 0.38) = X
(9.5 + 0.38X) = X

Solving
9.5 + 0.38X = X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1X' to each side of the equation.
9.5 + 0.38X + -1X = X + -1X

Combine like terms: 0.38X + -1X = -0.62X
9.5 + -0.62X = X + -1X

Combine like terms: X + -1X = 0
9.5 + -0.62X = 0

Add '-9.5' to each side of the equation.
9.5 + -9.5 + -0.62X = 0 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -0.62X = 0 + -9.5
-0.62X = 0 + -9.5

Combine like terms: 0 + -9.5 = -9.5
-0.62X = -9.5

Divide each side by '-0.62'.
X = 15.32258065

Simplifying
X = 15.32258065