(X-5)10+(1-2x).5=(3-x).4

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Solution for (X-5)10+(1-2x).5=(3-x).4 equation: 


Simplifying
(X + -5) * 10 + (1 + -2x) * 0.5 = (3 + -1x) * 0.4

Reorder the terms:
(-5 + X) * 10 + (1 + -2x) * 0.5 = (3 + -1x) * 0.4

Reorder the terms for easier multiplication:
10(-5 + X) + (1 + -2x) * 0.5 = (3 + -1x) * 0.4
(-5 * 10 + X * 10) + (1 + -2x) * 0.5 = (3 + -1x) * 0.4
(-50 + 10X) + (1 + -2x) * 0.5 = (3 + -1x) * 0.4

Reorder the terms for easier multiplication:
-50 + 10X + 0.5(1 + -2x) = (3 + -1x) * 0.4
-50 + 10X + (1 * 0.5 + -2x * 0.5) = (3 + -1x) * 0.4
-50 + 10X + (0.5 + -1x) = (3 + -1x) * 0.4

Reorder the terms:
-50 + 0.5 + 10X + -1x = (3 + -1x) * 0.4

Combine like terms: -50 + 0.5 = -49.5
-49.5 + 10X + -1x = (3 + -1x) * 0.4

Reorder the terms for easier multiplication:
-49.5 + 10X + -1x = 0.4(3 + -1x)
-49.5 + 10X + -1x = (3 * 0.4 + -1x * 0.4)
-49.5 + 10X + -1x = (1.2 + -0.4x)

Solving
-49.5 + 10X + -1x = 1.2 + -0.4x

Solving for variable 'X'.

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

Add '49.5' to each side of the equation.
-49.5 + 10X + 49.5 + -1x = 1.2 + 49.5 + -0.4x

Reorder the terms:
-49.5 + 49.5 + 10X + -1x = 1.2 + 49.5 + -0.4x

Combine like terms: -49.5 + 49.5 = 0.0
0.0 + 10X + -1x = 1.2 + 49.5 + -0.4x
10X + -1x = 1.2 + 49.5 + -0.4x

Combine like terms: 1.2 + 49.5 = 50.7
10X + -1x = 50.7 + -0.4x

Add 'x' to each side of the equation.
10X + -1x + x = 50.7 + -0.4x + x

Combine like terms: -1x + x = 0
10X + 0 = 50.7 + -0.4x + x
10X = 50.7 + -0.4x + x

Combine like terms: -0.4x + x = 0.6x
10X = 50.7 + 0.6x

Divide each side by '10'.
X = 5.07 + 0.06x

Simplifying
X = 5.07 + 0.06x

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