0.4x+0.25(105-x)=33

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Solution for 0.4x+0.25(105-x)=33 equation: 


Simplifying
0.4x + 0.25(105 + -1x) = 33
0.4x + (105 * 0.25 + -1x * 0.25) = 33
0.4x + (26.25 + -0.25x) = 33

Reorder the terms:
26.25 + 0.4x + -0.25x = 33

Combine like terms: 0.4x + -0.25x = 0.15x
26.25 + 0.15x = 33

Solving
26.25 + 0.15x = 33

Solving for variable 'x'.

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

Add '-26.25' to each side of the equation.
26.25 + -26.25 + 0.15x = 33 + -26.25

Combine like terms: 26.25 + -26.25 = 0.00
0.00 + 0.15x = 33 + -26.25
0.15x = 33 + -26.25

Combine like terms: 33 + -26.25 = 6.75
0.15x = 6.75

Divide each side by '0.15'.
x = 45

Simplifying
x = 45

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