x-(x-15)-(x*0.15)=40

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Solution for x-(x-15)-(x*0.15)=40 equation:


Simplifying
x + -1(x + -15) + -1(x * 0.15) = 40

Reorder the terms:
x + -1(-15 + x) + -1(x * 0.15) = 40
x + (-15 * -1 + x * -1) + -1(x * 0.15) = 40
x + (15 + -1x) + -1(x * 0.15) = 40

Reorder the terms for easier multiplication:
x + 15 + -1x + -1(0.15x) = 40

Remove parenthesis around (0.15x)
x + 15 + -1x + -1 * 0.15x = 40

Multiply -1 * 0.15
x + 15 + -1x + -0.15x = 40

Reorder the terms:
15 + x + -1x + -0.15x = 40

Combine like terms: x + -1x = 0
15 + 0 + -0.15x = 40
15 + -0.15x = 40

Solving
15 + -0.15x = 40

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -0.15x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -0.15x = 40 + -15
-0.15x = 40 + -15

Combine like terms: 40 + -15 = 25
-0.15x = 25

Divide each side by '-0.15'.
x = -166.6666667

Simplifying
x = -166.6666667

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