0.6(x+0.1)=2(0.4x-0.2)

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Solution for 0.6(x+0.1)=2(0.4x-0.2) equation: 


Simplifying
0.6(x + 0.1) = 2(0.4x + -0.2)

Reorder the terms:
0.6(0.1 + x) = 2(0.4x + -0.2)
(0.1 * 0.6 + x * 0.6) = 2(0.4x + -0.2)
(0.06 + 0.6x) = 2(0.4x + -0.2)

Reorder the terms:
0.06 + 0.6x = 2(-0.2 + 0.4x)
0.06 + 0.6x = (-0.2 * 2 + 0.4x * 2)
0.06 + 0.6x = (-0.4 + 0.8x)

Solving
0.06 + 0.6x = -0.4 + 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.
0.06 + 0.6x + -0.8x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
0.06 + -0.2x = -0.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.06 + -0.2x = -0.4 + 0.0
0.06 + -0.2x = -0.4

Add '-0.06' to each side of the equation.
0.06 + -0.06 + -0.2x = -0.4 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + -0.2x = -0.4 + -0.06
-0.2x = -0.4 + -0.06

Combine like terms: -0.4 + -0.06 = -0.46
-0.2x = -0.46

Divide each side by '-0.2'.
x = 2.3

Simplifying
x = 2.3

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