0.8(2x-1)+0.3(4-5x)=0

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Solution for 0.8(2x-1)+0.3(4-5x)=0 equation: 


Simplifying
0.8(2x + -1) + 0.3(4 + -5x) = 0

Reorder the terms:
0.8(-1 + 2x) + 0.3(4 + -5x) = 0
(-1 * 0.8 + 2x * 0.8) + 0.3(4 + -5x) = 0
(-0.8 + 1.6x) + 0.3(4 + -5x) = 0
-0.8 + 1.6x + (4 * 0.3 + -5x * 0.3) = 0
-0.8 + 1.6x + (1.2 + -1.5x) = 0

Reorder the terms:
-0.8 + 1.2 + 1.6x + -1.5x = 0

Combine like terms: -0.8 + 1.2 = 0.4
0.4 + 1.6x + -1.5x = 0

Combine like terms: 1.6x + -1.5x = 0.1x
0.4 + 0.1x = 0

Solving
0.4 + 0.1x = 0

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.1x = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.1x = 0 + -0.4
0.1x = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.1x = -0.4

Divide each side by '0.1'.
x = -4

Simplifying
x = -4

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