x(.06)+(.08)(4000-x)=280

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Solution for x(.06)+(.08)(4000-x)=280 equation:


Simplifying
x(0.06) + (0.08)(4000 + -1x) = 280

Reorder the terms for easier multiplication:
0.06x + (0.08)(4000 + -1x) = 280
0.06x + (4000 * 0.08 + -1x * 0.08) = 280
0.06x + (320 + -0.08x) = 280

Reorder the terms:
320 + 0.06x + -0.08x = 280

Combine like terms: 0.06x + -0.08x = -0.02x
320 + -0.02x = 280

Solving
320 + -0.02x = 280

Solving for variable 'x'.

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

Add '-320' to each side of the equation.
320 + -320 + -0.02x = 280 + -320

Combine like terms: 320 + -320 = 0
0 + -0.02x = 280 + -320
-0.02x = 280 + -320

Combine like terms: 280 + -320 = -40
-0.02x = -40

Divide each side by '-0.02'.
x = 2000

Simplifying
x = 2000

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