0.3(x-8)+X=0.5(3-x)

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Solution for 0.3(x-8)+X=0.5(3-x) equation: 


Simplifying
0.3(x + -8) + X = 0.5(3 + -1x)

Reorder the terms:
0.3(-8 + x) + X = 0.5(3 + -1x)
(-8 * 0.3 + x * 0.3) + X = 0.5(3 + -1x)
(-2.4 + 0.3x) + X = 0.5(3 + -1x)

Reorder the terms:
-2.4 + X + 0.3x = 0.5(3 + -1x)
-2.4 + X + 0.3x = (3 * 0.5 + -1x * 0.5)
-2.4 + X + 0.3x = (1.5 + -0.5x)

Solving
-2.4 + X + 0.3x = 1.5 + -0.5x

Solving for variable 'X'.

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

Add '2.4' to each side of the equation.
-2.4 + X + 2.4 + 0.3x = 1.5 + 2.4 + -0.5x

Reorder the terms:
-2.4 + 2.4 + X + 0.3x = 1.5 + 2.4 + -0.5x

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + X + 0.3x = 1.5 + 2.4 + -0.5x
X + 0.3x = 1.5 + 2.4 + -0.5x

Combine like terms: 1.5 + 2.4 = 3.9
X + 0.3x = 3.9 + -0.5x

Add '-0.3x' to each side of the equation.
X + 0.3x + -0.3x = 3.9 + -0.5x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
X + 0.0 = 3.9 + -0.5x + -0.3x
X = 3.9 + -0.5x + -0.3x

Combine like terms: -0.5x + -0.3x = -0.8x
X = 3.9 + -0.8x

Simplifying
X = 3.9 + -0.8x

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