x-0.1x+0.9=0.2(x+1)

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Solution for x-0.1x+0.9=0.2(x+1) equation: 


Simplifying
x + -0.1x + 0.9 = 0.2(x + 1)

Reorder the terms:
0.9 + x + -0.1x = 0.2(x + 1)

Combine like terms: x + -0.1x = 0.9x
0.9 + 0.9x = 0.2(x + 1)

Reorder the terms:
0.9 + 0.9x = 0.2(1 + x)
0.9 + 0.9x = (1 * 0.2 + x * 0.2)
0.9 + 0.9x = (0.2 + 0.2x)

Solving
0.9 + 0.9x = 0.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.9 + 0.9x + -0.2x = 0.2 + 0.2x + -0.2x

Combine like terms: 0.9x + -0.2x = 0.7x
0.9 + 0.7x = 0.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.9 + 0.7x = 0.2 + 0.0
0.9 + 0.7x = 0.2

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.7x = 0.2 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.7x = 0.2 + -0.9
0.7x = 0.2 + -0.9

Combine like terms: 0.2 + -0.9 = -0.7
0.7x = -0.7

Divide each side by '0.7'.
x = -1

Simplifying
x = -1

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