.2(x+2)+2=6x-10

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Solution for .2(x+2)+2=6x-10 equation: 


Simplifying
0.2(x + 2) + 2 = 6x + -10

Reorder the terms:
0.2(2 + x) + 2 = 6x + -10
(2 * 0.2 + x * 0.2) + 2 = 6x + -10
(0.4 + 0.2x) + 2 = 6x + -10

Reorder the terms:
0.4 + 2 + 0.2x = 6x + -10

Combine like terms: 0.4 + 2 = 2.4
2.4 + 0.2x = 6x + -10

Reorder the terms:
2.4 + 0.2x = -10 + 6x

Solving
2.4 + 0.2x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2.4 + 0.2x + -6x = -10 + 6x + -6x

Combine like terms: 0.2x + -6x = -5.8x
2.4 + -5.8x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2.4 + -5.8x = -10 + 0
2.4 + -5.8x = -10

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -5.8x = -10 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -5.8x = -10 + -2.4
-5.8x = -10 + -2.4

Combine like terms: -10 + -2.4 = -12.4
-5.8x = -12.4

Divide each side by '-5.8'.
x = 2.137931034

Simplifying
x = 2.137931034

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