x=.15*(100+x)

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Solution for x=.15*(100+x) equation:


Simplifying
x = 0.15(100 + x)
x = (100 * 0.15 + x * 0.15)
x = (15 + 0.15x)

Solving
x = 15 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
x + -0.15x = 15 + 0.15x + -0.15x

Combine like terms: x + -0.15x = 0.85x
0.85x = 15 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
0.85x = 15 + 0.00
0.85x = 15

Divide each side by '0.85'.
x = 17.64705882

Simplifying
x = 17.64705882

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