0.9x-0.1=0.8-0.3(5-5x)

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Solution for 0.9x-0.1=0.8-0.3(5-5x) equation: 


Simplifying
0.9x + -0.1 = 0.8 + -0.3(5 + -5x)

Reorder the terms:
-0.1 + 0.9x = 0.8 + -0.3(5 + -5x)
-0.1 + 0.9x = 0.8 + (5 * -0.3 + -5x * -0.3)
-0.1 + 0.9x = 0.8 + (-1.5 + 1.5x)

Combine like terms: 0.8 + -1.5 = -0.7
-0.1 + 0.9x = -0.7 + 1.5x

Solving
-0.1 + 0.9x = -0.7 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-0.1 + 0.9x + -1.5x = -0.7 + 1.5x + -1.5x

Combine like terms: 0.9x + -1.5x = -0.6x
-0.1 + -0.6x = -0.7 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.1 + -0.6x = -0.7 + 0.0
-0.1 + -0.6x = -0.7

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.6x = -0.7 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.6x = -0.7 + 0.1
-0.6x = -0.7 + 0.1

Combine like terms: -0.7 + 0.1 = -0.6
-0.6x = -0.6

Divide each side by '-0.6'.
x = 1

Simplifying
x = 1

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