.2(x+2)=5x+12.4

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Solution for .2(x+2)=5x+12.4 equation: 


Simplifying
0.2(x + 2) = 5x + 12.4

Reorder the terms:
0.2(2 + x) = 5x + 12.4
(2 * 0.2 + x * 0.2) = 5x + 12.4
(0.4 + 0.2x) = 5x + 12.4

Reorder the terms:
0.4 + 0.2x = 12.4 + 5x

Solving
0.4 + 0.2x = 12.4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
0.4 + 0.2x + -5x = 12.4 + 5x + -5x

Combine like terms: 0.2x + -5x = -4.8x
0.4 + -4.8x = 12.4 + 5x + -5x

Combine like terms: 5x + -5x = 0
0.4 + -4.8x = 12.4 + 0
0.4 + -4.8x = 12.4

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -4.8x = 12.4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -4.8x = 12.4 + -0.4
-4.8x = 12.4 + -0.4

Combine like terms: 12.4 + -0.4 = 12
-4.8x = 12

Divide each side by '-4.8'.
x = -2.5

Simplifying
x = -2.5

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