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

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Solution for 0.4(x-5)=0.2(10-12)+x equation: 


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

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

Combine like terms: 10 + -12 = -2
-2 + 0.4x = 0.2(-2) + x

Multiply 0.2 * -2
-2 + 0.4x = -0.4 + x

Solving
-2 + 0.4x = -0.4 + x

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.
-2 + 0.4x + -1x = -0.4 + x + -1x

Combine like terms: 0.4x + -1x = -0.6x
-2 + -0.6x = -0.4 + x + -1x

Combine like terms: x + -1x = 0
-2 + -0.6x = -0.4 + 0
-2 + -0.6x = -0.4

Add '2' to each side of the equation.
-2 + 2 + -0.6x = -0.4 + 2

Combine like terms: -2 + 2 = 0
0 + -0.6x = -0.4 + 2
-0.6x = -0.4 + 2

Combine like terms: -0.4 + 2 = 1.6
-0.6x = 1.6

Divide each side by '-0.6'.
x = -2.666666667

Simplifying
x = -2.666666667

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