.4(x-5)=.2(10-12x)+x

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Solution for .4(x-5)=.2(10-12x)+x equation: 


Simplifying
0.4(x + -5) = 0.2(10 + -12x) + x

Reorder the terms:
0.4(-5 + x) = 0.2(10 + -12x) + x
(-5 * 0.4 + x * 0.4) = 0.2(10 + -12x) + x
(-2 + 0.4x) = 0.2(10 + -12x) + x
-2 + 0.4x = (10 * 0.2 + -12x * 0.2) + x
-2 + 0.4x = (2 + -2.4x) + x

Combine like terms: -2.4x + x = -1.4x
-2 + 0.4x = 2 + -1.4x

Solving
-2 + 0.4x = 2 + -1.4x

Solving for variable 'x'.

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

Add '1.4x' to each side of the equation.
-2 + 0.4x + 1.4x = 2 + -1.4x + 1.4x

Combine like terms: 0.4x + 1.4x = 1.8x
-2 + 1.8x = 2 + -1.4x + 1.4x

Combine like terms: -1.4x + 1.4x = 0.0
-2 + 1.8x = 2 + 0.0
-2 + 1.8x = 2

Add '2' to each side of the equation.
-2 + 2 + 1.8x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1.8x = 2 + 2
1.8x = 2 + 2

Combine like terms: 2 + 2 = 4
1.8x = 4

Divide each side by '1.8'.
x = 2.222222222

Simplifying
x = 2.222222222

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