0.40x+0.15[100-x]=20

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Solution for 0.40x+0.15[100-x]=20 equation: 


Simplifying
0.40x + 0.15[100 + -1x] = 20
0.40x + [100 * 0.15 + -1x * 0.15] = 20
0.40x + [15 + -0.15x] = 20

Reorder the terms:
15 + 0.40x + -0.15x = 20

Combine like terms: 0.40x + -0.15x = 0.25x
15 + 0.25x = 20

Solving
15 + 0.25x = 20

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 0.25x = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 0.25x = 20 + -15
0.25x = 20 + -15

Combine like terms: 20 + -15 = 5
0.25x = 5

Divide each side by '0.25'.
x = 20

Simplifying
x = 20

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