3x-0.1=0.2-0.4(7-2x)

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Solution for 3x-0.1=0.2-0.4(7-2x) equation: 


Simplifying
3x + -0.1 = 0.2 + -0.4(7 + -2x)

Reorder the terms:
-0.1 + 3x = 0.2 + -0.4(7 + -2x)
-0.1 + 3x = 0.2 + (7 * -0.4 + -2x * -0.4)
-0.1 + 3x = 0.2 + (-2.8 + 0.8x)

Combine like terms: 0.2 + -2.8 = -2.6
-0.1 + 3x = -2.6 + 0.8x

Solving
-0.1 + 3x = -2.6 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-0.1 + 3x + -0.8x = -2.6 + 0.8x + -0.8x

Combine like terms: 3x + -0.8x = 2.2x
-0.1 + 2.2x = -2.6 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-0.1 + 2.2x = -2.6 + 0.0
-0.1 + 2.2x = -2.6

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 2.2x = -2.6 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 2.2x = -2.6 + 0.1
2.2x = -2.6 + 0.1

Combine like terms: -2.6 + 0.1 = -2.5
2.2x = -2.5

Divide each side by '2.2'.
x = -1.136363636

Simplifying
x = -1.136363636

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