0.9x-0.1=0.8-0.3(4-4x)

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Solution for 0.9x-0.1=0.8-0.3(4-4x) equation: 


Simplifying
0.9x + -0.1 = 0.8 + -0.3(4 + -4x)

Reorder the terms:
-0.1 + 0.9x = 0.8 + -0.3(4 + -4x)
-0.1 + 0.9x = 0.8 + (4 * -0.3 + -4x * -0.3)
-0.1 + 0.9x = 0.8 + (-1.2 + 1.2x)

Combine like terms: 0.8 + -1.2 = -0.4
-0.1 + 0.9x = -0.4 + 1.2x

Solving
-0.1 + 0.9x = -0.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.1 + 0.9x + -1.2x = -0.4 + 1.2x + -1.2x

Combine like terms: 0.9x + -1.2x = -0.3x
-0.1 + -0.3x = -0.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.1 + -0.3x = -0.4 + 0.0
-0.1 + -0.3x = -0.4

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.3x = -0.4 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.3x = -0.4 + 0.1
-0.3x = -0.4 + 0.1

Combine like terms: -0.4 + 0.1 = -0.3
-0.3x = -0.3

Divide each side by '-0.3'.
x = 1

Simplifying
x = 1

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