284=0.07x+(5000-x)0.04

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Solution for 284=0.07x+(5000-x)0.04 equation:


Simplifying
284 = 0.07x + (5000 + -1x) * 0.04

Reorder the terms for easier multiplication:
284 = 0.07x + 0.04(5000 + -1x)
284 = 0.07x + (5000 * 0.04 + -1x * 0.04)
284 = 0.07x + (200 + -0.04x)

Reorder the terms:
284 = 200 + 0.07x + -0.04x

Combine like terms: 0.07x + -0.04x = 0.03x
284 = 200 + 0.03x

Solving
284 = 200 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
284 + -0.03x = 200 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
284 + -0.03x = 200 + 0.00
284 + -0.03x = 200

Add '-284' to each side of the equation.
284 + -284 + -0.03x = 200 + -284

Combine like terms: 284 + -284 = 0
0 + -0.03x = 200 + -284
-0.03x = 200 + -284

Combine like terms: 200 + -284 = -84
-0.03x = -84

Divide each side by '-0.03'.
x = 2800

Simplifying
x = 2800

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