.9(x+9)=-.1(x-10)

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Solution for .9(x+9)=-.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 = 1x
8.1 + 1x = 1 + -0.1x + 0.1x

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

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

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

Combine like terms: 1 + -8.1 = -7.1
1x = -7.1

Divide each side by '1'.
x = -7.1

Simplifying
x = -7.1

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