0.3-0.3x-0.2x=0.4(0.5x+6)

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Solution for 0.3-0.3x-0.2x=0.4(0.5x+6) equation:


Simplifying
0.3 + -0.3x + -0.2x = 0.4(0.5x + 6)

Combine like terms: -0.3x + -0.2x = -0.5x
0.3 + -0.5x = 0.4(0.5x + 6)

Reorder the terms:
0.3 + -0.5x = 0.4(6 + 0.5x)
0.3 + -0.5x = (6 * 0.4 + 0.5x * 0.4)
0.3 + -0.5x = (2.4 + 0.2x)

Solving
0.3 + -0.5x = 2.4 + 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.
0.3 + -0.5x + -0.2x = 2.4 + 0.2x + -0.2x

Combine like terms: -0.5x + -0.2x = -0.7x
0.3 + -0.7x = 2.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.3 + -0.7x = 2.4 + 0.0
0.3 + -0.7x = 2.4

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -0.7x = 2.4 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.7x = 2.4 + -0.3
-0.7x = 2.4 + -0.3

Combine like terms: 2.4 + -0.3 = 2.1
-0.7x = 2.1

Divide each side by '-0.7'.
x = -3

Simplifying
x = -3

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