.2(x+1)+.5X=-.3(x-4)

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Solution for .2(x+1)+.5X=-.3(x-4) equation: 


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

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

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

Reorder the terms:
0.2 + 0.5X + 0.2x = -0.3(-4 + x)
0.2 + 0.5X + 0.2x = (-4 * -0.3 + x * -0.3)
0.2 + 0.5X + 0.2x = (1.2 + -0.3x)

Solving
0.2 + 0.5X + 0.2x = 1.2 + -0.3x

Solving for variable 'X'.

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

Add '-0.2' to each side of the equation.
0.2 + 0.5X + -0.2 + 0.2x = 1.2 + -0.2 + -0.3x

Reorder the terms:
0.2 + -0.2 + 0.5X + 0.2x = 1.2 + -0.2 + -0.3x

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.5X + 0.2x = 1.2 + -0.2 + -0.3x
0.5X + 0.2x = 1.2 + -0.2 + -0.3x

Combine like terms: 1.2 + -0.2 = 1
0.5X + 0.2x = 1 + -0.3x

Add '-0.2x' to each side of the equation.
0.5X + 0.2x + -0.2x = 1 + -0.3x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.5X + 0.0 = 1 + -0.3x + -0.2x
0.5X = 1 + -0.3x + -0.2x

Combine like terms: -0.3x + -0.2x = -0.5x
0.5X = 1 + -0.5x

Divide each side by '0.5'.
X = 2 + -1x

Simplifying
X = 2 + -1x

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