0.20(2x+1)+0.35(x)+0.50(x-2)=4.20

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Solution for 0.20(2x+1)+0.35(x)+0.50(x-2)=4.20 equation: 


Simplifying
0.20(2x + 1) + 0.35(x) + 0.50(x + -2) = 4.20

Reorder the terms:
0.20(1 + 2x) + 0.35(x) + 0.50(x + -2) = 4.20
(1 * 0.20 + 2x * 0.20) + 0.35(x) + 0.50(x + -2) = 4.20
(0.2 + 0.4x) + 0.35(x) + 0.50(x + -2) = 4.20

Reorder the terms:
0.2 + 0.4x + 0.35x + 0.50(-2 + x) = 4.20
0.2 + 0.4x + 0.35x + (-2 * 0.50 + x * 0.50) = 4.20
0.2 + 0.4x + 0.35x + (-1 + 0.50x) = 4.20

Reorder the terms:
0.2 + -1 + 0.4x + 0.35x + 0.50x = 4.20

Combine like terms: 0.2 + -1 = -0.8
-0.8 + 0.4x + 0.35x + 0.50x = 4.20

Combine like terms: 0.4x + 0.35x = 0.75x
-0.8 + 0.75x + 0.50x = 4.20

Combine like terms: 0.75x + 0.50x = 1.25x
-0.8 + 1.25x = 4.20

Solving
-0.8 + 1.25x = 4.20

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 1.25x = 4.20 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 1.25x = 4.20 + 0.8
1.25x = 4.20 + 0.8

Combine like terms: 4.20 + 0.8 = 5
1.25x = 5

Divide each side by '1.25'.
x = 4

Simplifying
x = 4

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