x-0.10-0.15(x-0.10x)=306

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Solution for x-0.10-0.15(x-0.10x)=306 equation:


Simplifying
x + -0.10 + -0.15(x + -0.10x) = 306

Combine like terms: x + -0.10x = 0.9x
x + -0.10 + -0.15(0.9x) = 306

Remove parenthesis around (0.9x)
x + -0.10 + -0.15 * 0.9x = 306

Multiply -0.15 * 0.9
x + -0.10 + -0.135x = 306

Reorder the terms:
-0.10 + x + -0.135x = 306

Combine like terms: x + -0.135x = 0.865x
-0.10 + 0.865x = 306

Solving
-0.10 + 0.865x = 306

Solving for variable 'x'.

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

Add '0.10' to each side of the equation.
-0.10 + 0.10 + 0.865x = 306 + 0.10

Combine like terms: -0.10 + 0.10 = 0.00
0.00 + 0.865x = 306 + 0.10
0.865x = 306 + 0.10

Combine like terms: 306 + 0.10 = 306.1
0.865x = 306.1

Divide each side by '0.865'.
x = 353.8728324

Simplifying
x = 353.8728324

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