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

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Solution for 0.4(x+0.2)=0.6(x-4.2) equation: 


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

Reorder the terms:
0.4(0.2 + x) = 0.6(x + -4.2)
(0.2 * 0.4 + x * 0.4) = 0.6(x + -4.2)
(0.08 + 0.4x) = 0.6(x + -4.2)

Reorder the terms:
0.08 + 0.4x = 0.6(-4.2 + x)
0.08 + 0.4x = (-4.2 * 0.6 + x * 0.6)
0.08 + 0.4x = (-2.52 + 0.6x)

Solving
0.08 + 0.4x = -2.52 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.08 + 0.4x + -0.6x = -2.52 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
0.08 + -0.2x = -2.52 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.08 + -0.2x = -2.52 + 0.0
0.08 + -0.2x = -2.52

Add '-0.08' to each side of the equation.
0.08 + -0.08 + -0.2x = -2.52 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + -0.2x = -2.52 + -0.08
-0.2x = -2.52 + -0.08

Combine like terms: -2.52 + -0.08 = -2.6
-0.2x = -2.6

Divide each side by '-0.2'.
x = 13

Simplifying
x = 13

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