3400=0.05x+0.08(50000-x)

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Solution for 3400=0.05x+0.08(50000-x) equation: 


Simplifying
3400 = 0.05x + 0.08(50000 + -1x)
3400 = 0.05x + (50000 * 0.08 + -1x * 0.08)
3400 = 0.05x + (4000 + -0.08x)

Reorder the terms:
3400 = 4000 + 0.05x + -0.08x

Combine like terms: 0.05x + -0.08x = -0.03x
3400 = 4000 + -0.03x

Solving
3400 = 4000 + -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.
3400 + 0.03x = 4000 + -0.03x + 0.03x

Combine like terms: -0.03x + 0.03x = 0.00
3400 + 0.03x = 4000 + 0.00
3400 + 0.03x = 4000

Add '-3400' to each side of the equation.
3400 + -3400 + 0.03x = 4000 + -3400

Combine like terms: 3400 + -3400 = 0
0 + 0.03x = 4000 + -3400
0.03x = 4000 + -3400

Combine like terms: 4000 + -3400 = 600
0.03x = 600

Divide each side by '0.03'.
x = 20000

Simplifying
x = 20000

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