0.8x+0.33=0.40-0.20x+0.40

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Solution for 0.8x+0.33=0.40-0.20x+0.40 equation: 


Simplifying
0.8x + 0.33 = 0.40 + -0.20x + 0.40

Reorder the terms:
0.33 + 0.8x = 0.40 + -0.20x + 0.40

Reorder the terms:
0.33 + 0.8x = 0.40 + 0.40 + -0.20x

Combine like terms: 0.40 + 0.40 = 0.8
0.33 + 0.8x = 0.8 + -0.20x

Solving
0.33 + 0.8x = 0.8 + -0.20x

Solving for variable 'x'.

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

Add '0.20x' to each side of the equation.
0.33 + 0.8x + 0.20x = 0.8 + -0.20x + 0.20x

Combine like terms: 0.8x + 0.20x = 1x
0.33 + 1x = 0.8 + -0.20x + 0.20x

Combine like terms: -0.20x + 0.20x = 0.00
0.33 + 1x = 0.8 + 0.00
0.33 + 1x = 0.8

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 1x = 0.8 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 1x = 0.8 + -0.33
1x = 0.8 + -0.33

Combine like terms: 0.8 + -0.33 = 0.47
1x = 0.47

Divide each side by '1'.
x = 0.47

Simplifying
x = 0.47

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