.2(x+.6)=.4(x-4.2)

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Solution for .2(x+.6)=.4(x-4.2) equation: 


Simplifying
0.2(x + 0.6) = 0.4(x + -4.2)

Reorder the terms:
0.2(0.6 + x) = 0.4(x + -4.2)
(0.6 * 0.2 + x * 0.2) = 0.4(x + -4.2)
(0.12 + 0.2x) = 0.4(x + -4.2)

Reorder the terms:
0.12 + 0.2x = 0.4(-4.2 + x)
0.12 + 0.2x = (-4.2 * 0.4 + x * 0.4)
0.12 + 0.2x = (-1.68 + 0.4x)

Solving
0.12 + 0.2x = -1.68 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.12 + 0.2x + -0.4x = -1.68 + 0.4x + -0.4x

Combine like terms: 0.2x + -0.4x = -0.2x
0.12 + -0.2x = -1.68 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.12 + -0.2x = -1.68 + 0.0
0.12 + -0.2x = -1.68

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.2x = -1.68 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.2x = -1.68 + -0.12
-0.2x = -1.68 + -0.12

Combine like terms: -1.68 + -0.12 = -1.8
-0.2x = -1.8

Divide each side by '-0.2'.
x = 9

Simplifying
x = 9

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