0.9(x+9)=0.1(x-10)

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Solution for 0.9(x+9)=0.1(x-10) equation: 


Simplifying
0.9(x + 9) = 0.1(x + -10)

Reorder the terms:
0.9(9 + x) = 0.1(x + -10)
(9 * 0.9 + x * 0.9) = 0.1(x + -10)
(8.1 + 0.9x) = 0.1(x + -10)

Reorder the terms:
8.1 + 0.9x = 0.1(-10 + x)
8.1 + 0.9x = (-10 * 0.1 + x * 0.1)
8.1 + 0.9x = (-1 + 0.1x)

Solving
8.1 + 0.9x = -1 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
8.1 + 0.9x + -0.1x = -1 + 0.1x + -0.1x

Combine like terms: 0.9x + -0.1x = 0.8x
8.1 + 0.8x = -1 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
8.1 + 0.8x = -1 + 0.0
8.1 + 0.8x = -1

Add '-8.1' to each side of the equation.
8.1 + -8.1 + 0.8x = -1 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + 0.8x = -1 + -8.1
0.8x = -1 + -8.1

Combine like terms: -1 + -8.1 = -9.1
0.8x = -9.1

Divide each side by '0.8'.
x = -11.375

Simplifying
x = -11.375

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