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

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Solution for .20(x+2)+2x=6x-10 equation:


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

Reorder the terms:
0.20(2 + x) + 2x = 6x + -10
(2 * 0.20 + x * 0.20) + 2x = 6x + -10
(0.4 + 0.20x) + 2x = 6x + -10

Combine like terms: 0.20x + 2x = 2.2x
0.4 + 2.2x = 6x + -10

Reorder the terms:
0.4 + 2.2x = -10 + 6x

Solving
0.4 + 2.2x = -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.
0.4 + 2.2x + -6x = -10 + 6x + -6x

Combine like terms: 2.2x + -6x = -3.8x
0.4 + -3.8x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
0.4 + -3.8x = -10 + 0
0.4 + -3.8x = -10

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -3.8x = -10 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -3.8x = -10 + -0.4
-3.8x = -10 + -0.4

Combine like terms: -10 + -0.4 = -10.4
-3.8x = -10.4

Divide each side by '-3.8'.
x = 2.736842105

Simplifying
x = 2.736842105

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