0.64*(2000-x)+0.04*(1000-x)=40.79

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Solution for 0.64*(2000-x)+0.04*(1000-x)=40.79 equation: 


Simplifying
0.64(2000 + -1x) + 0.04(1000 + -1x) = 40.79
(2000 * 0.64 + -1x * 0.64) + 0.04(1000 + -1x) = 40.79
(1280 + -0.64x) + 0.04(1000 + -1x) = 40.79
1280 + -0.64x + (1000 * 0.04 + -1x * 0.04) = 40.79
1280 + -0.64x + (40 + -0.04x) = 40.79

Reorder the terms:
1280 + 40 + -0.64x + -0.04x = 40.79

Combine like terms: 1280 + 40 = 1320
1320 + -0.64x + -0.04x = 40.79

Combine like terms: -0.64x + -0.04x = -0.68x
1320 + -0.68x = 40.79

Solving
1320 + -0.68x = 40.79

Solving for variable 'x'.

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

Add '-1320' to each side of the equation.
1320 + -1320 + -0.68x = 40.79 + -1320

Combine like terms: 1320 + -1320 = 0
0 + -0.68x = 40.79 + -1320
-0.68x = 40.79 + -1320

Combine like terms: 40.79 + -1320 = -1279.21
-0.68x = -1279.21

Divide each side by '-0.68'.
x = 1881.191176

Simplifying
x = 1881.191176

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