0.2(x+2)+0.1(1-x)+1.4(2x+7)=16-0.2x

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Solution for 0.2(x+2)+0.1(1-x)+1.4(2x+7)=16-0.2x equation: 


Simplifying
0.2(x + 2) + 0.1(1 + -1x) + 1.4(2x + 7) = 16 + -0.2x

Reorder the terms:
0.2(2 + x) + 0.1(1 + -1x) + 1.4(2x + 7) = 16 + -0.2x
(2 * 0.2 + x * 0.2) + 0.1(1 + -1x) + 1.4(2x + 7) = 16 + -0.2x
(0.4 + 0.2x) + 0.1(1 + -1x) + 1.4(2x + 7) = 16 + -0.2x
0.4 + 0.2x + (1 * 0.1 + -1x * 0.1) + 1.4(2x + 7) = 16 + -0.2x
0.4 + 0.2x + (0.1 + -0.1x) + 1.4(2x + 7) = 16 + -0.2x

Reorder the terms:
0.4 + 0.2x + 0.1 + -0.1x + 1.4(7 + 2x) = 16 + -0.2x
0.4 + 0.2x + 0.1 + -0.1x + (7 * 1.4 + 2x * 1.4) = 16 + -0.2x
0.4 + 0.2x + 0.1 + -0.1x + (9.8 + 2.8x) = 16 + -0.2x

Reorder the terms:
0.4 + 0.1 + 9.8 + 0.2x + -0.1x + 2.8x = 16 + -0.2x

Combine like terms: 0.4 + 0.1 = 0.5
0.5 + 9.8 + 0.2x + -0.1x + 2.8x = 16 + -0.2x

Combine like terms: 0.5 + 9.8 = 10.3
10.3 + 0.2x + -0.1x + 2.8x = 16 + -0.2x

Combine like terms: 0.2x + -0.1x = 0.1x
10.3 + 0.1x + 2.8x = 16 + -0.2x

Combine like terms: 0.1x + 2.8x = 2.9x
10.3 + 2.9x = 16 + -0.2x

Solving
10.3 + 2.9x = 16 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
10.3 + 2.9x + 0.2x = 16 + -0.2x + 0.2x

Combine like terms: 2.9x + 0.2x = 3.1x
10.3 + 3.1x = 16 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
10.3 + 3.1x = 16 + 0.0
10.3 + 3.1x = 16

Add '-10.3' to each side of the equation.
10.3 + -10.3 + 3.1x = 16 + -10.3

Combine like terms: 10.3 + -10.3 = 0.0
0.0 + 3.1x = 16 + -10.3
3.1x = 16 + -10.3

Combine like terms: 16 + -10.3 = 5.7
3.1x = 5.7

Divide each side by '3.1'.
x = 1.838709677

Simplifying
x = 1.838709677

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