0.5(x-10)=0.4x-3+6+0.6x

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Solution for 0.5(x-10)=0.4x-3+6+0.6x equation: 


Simplifying
0.5(x + -10) = 0.4x + -3 + 6 + 0.6x

Reorder the terms:
0.5(-10 + x) = 0.4x + -3 + 6 + 0.6x
(-10 * 0.5 + x * 0.5) = 0.4x + -3 + 6 + 0.6x
(-5 + 0.5x) = 0.4x + -3 + 6 + 0.6x

Reorder the terms:
-5 + 0.5x = -3 + 6 + 0.4x + 0.6x

Combine like terms: -3 + 6 = 3
-5 + 0.5x = 3 + 0.4x + 0.6x

Combine like terms: 0.4x + 0.6x = 1x
-5 + 0.5x = 3 + 1x

Solving
-5 + 0.5x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 0.5x + -1x = 3 + 1x + -1x

Combine like terms: 0.5x + -1x = -0.5x
-5 + -0.5x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + -0.5x = 3 + 0
-5 + -0.5x = 3

Add '5' to each side of the equation.
-5 + 5 + -0.5x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -0.5x = 3 + 5
-0.5x = 3 + 5

Combine like terms: 3 + 5 = 8
-0.5x = 8

Divide each side by '-0.5'.
x = -16

Simplifying
x = -16

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