.2(X+1)+.5x=-0.3(X-4)

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Solution for .2(X+1)+.5x=-0.3(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 + 0.2X + 0.5x = -0.3(-4 + X)
0.2 + 0.2X + 0.5x = (-4 * -0.3 + X * -0.3)
0.2 + 0.2X + 0.5x = (1.2 + -0.3X)

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

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

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

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

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

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

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

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

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

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

Simplifying
X = 2 + -1x

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