0.10x+0.07(4000-x)=378

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Solution for 0.10x+0.07(4000-x)=378 equation: 


Simplifying
0.10x + 0.07(4000 + -1x) = 378
0.10x + (4000 * 0.07 + -1x * 0.07) = 378
0.10x + (280 + -0.07x) = 378

Reorder the terms:
280 + 0.10x + -0.07x = 378

Combine like terms: 0.10x + -0.07x = 0.03x
280 + 0.03x = 378

Solving
280 + 0.03x = 378

Solving for variable 'x'.

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

Add '-280' to each side of the equation.
280 + -280 + 0.03x = 378 + -280

Combine like terms: 280 + -280 = 0
0 + 0.03x = 378 + -280
0.03x = 378 + -280

Combine like terms: 378 + -280 = 98
0.03x = 98

Divide each side by '0.03'.
x = 3266.666667

Simplifying
x = 3266.666667

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