0.3x+5-3+0.1x=0.2(x-6)

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Solution for 0.3x+5-3+0.1x=0.2(x-6) equation: 


Simplifying
0.3x + 5 + -3 + 0.1x = 0.2(x + -6)

Reorder the terms:
5 + -3 + 0.3x + 0.1x = 0.2(x + -6)

Combine like terms: 5 + -3 = 2
2 + 0.3x + 0.1x = 0.2(x + -6)

Combine like terms: 0.3x + 0.1x = 0.4x
2 + 0.4x = 0.2(x + -6)

Reorder the terms:
2 + 0.4x = 0.2(-6 + x)
2 + 0.4x = (-6 * 0.2 + x * 0.2)
2 + 0.4x = (-1.2 + 0.2x)

Solving
2 + 0.4x = -1.2 + 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.
2 + 0.4x + -0.2x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
2 + 0.2x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2 + 0.2x = -1.2 + 0.0
2 + 0.2x = -1.2

Add '-2' to each side of the equation.
2 + -2 + 0.2x = -1.2 + -2

Combine like terms: 2 + -2 = 0
0 + 0.2x = -1.2 + -2
0.2x = -1.2 + -2

Combine like terms: -1.2 + -2 = -3.2
0.2x = -3.2

Divide each side by '0.2'.
x = -16

Simplifying
x = -16

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