0.20(x+2)+0.05(10-x)=1.4

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Solution for 0.20(x+2)+0.05(10-x)=1.4 equation: 


Simplifying
0.20(x + 2) + 0.05(10 + -1x) = 1.4

Reorder the terms:
0.20(2 + x) + 0.05(10 + -1x) = 1.4
(2 * 0.20 + x * 0.20) + 0.05(10 + -1x) = 1.4
(0.4 + 0.20x) + 0.05(10 + -1x) = 1.4
0.4 + 0.20x + (10 * 0.05 + -1x * 0.05) = 1.4
0.4 + 0.20x + (0.5 + -0.05x) = 1.4

Reorder the terms:
0.4 + 0.5 + 0.20x + -0.05x = 1.4

Combine like terms: 0.4 + 0.5 = 0.9
0.9 + 0.20x + -0.05x = 1.4

Combine like terms: 0.20x + -0.05x = 0.15x
0.9 + 0.15x = 1.4

Solving
0.9 + 0.15x = 1.4

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.15x = 1.4 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.15x = 1.4 + -0.9
0.15x = 1.4 + -0.9

Combine like terms: 1.4 + -0.9 = 0.5
0.15x = 0.5

Divide each side by '0.15'.
x = 3.333333333

Simplifying
x = 3.333333333

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