0.2x-0.5(2x-1)=-0.3(x+4)

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Solution for 0.2x-0.5(2x-1)=-0.3(x+4) equation: 


Simplifying
0.2x + -0.5(2x + -1) = -0.3(x + 4)

Reorder the terms:
0.2x + -0.5(-1 + 2x) = -0.3(x + 4)
0.2x + (-1 * -0.5 + 2x * -0.5) = -0.3(x + 4)
0.2x + (0.5 + -1x) = -0.3(x + 4)

Reorder the terms:
0.5 + 0.2x + -1x = -0.3(x + 4)

Combine like terms: 0.2x + -1x = -0.8x
0.5 + -0.8x = -0.3(x + 4)

Reorder the terms:
0.5 + -0.8x = -0.3(4 + x)
0.5 + -0.8x = (4 * -0.3 + x * -0.3)
0.5 + -0.8x = (-1.2 + -0.3x)

Solving
0.5 + -0.8x = -1.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
0.5 + -0.8x + 0.3x = -1.2 + -0.3x + 0.3x

Combine like terms: -0.8x + 0.3x = -0.5x
0.5 + -0.5x = -1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
0.5 + -0.5x = -1.2 + 0.0
0.5 + -0.5x = -1.2

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.5x = -1.2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5x = -1.2 + -0.5
-0.5x = -1.2 + -0.5

Combine like terms: -1.2 + -0.5 = -1.7
-0.5x = -1.7

Divide each side by '-0.5'.
x = 3.4

Simplifying
x = 3.4

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