.05(10000)+.09x=.080(10000+x)

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Solution for .05(10000)+.09x=.080(10000+x) equation:


Simplifying
0.05(10000) + 0.09x = 0.080(10000 + x)

Multiply 0.05 * 10000
500 + 0.09x = 0.080(10000 + x)
500 + 0.09x = (10000 * 0.080 + x * 0.080)
500 + 0.09x = (800 + 0.080x)

Solving
500 + 0.09x = 800 + 0.080x

Solving for variable 'x'.

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

Add '-0.080x' to each side of the equation.
500 + 0.09x + -0.080x = 800 + 0.080x + -0.080x

Combine like terms: 0.09x + -0.080x = 0.01x
500 + 0.01x = 800 + 0.080x + -0.080x

Combine like terms: 0.080x + -0.080x = 0.000
500 + 0.01x = 800 + 0.000
500 + 0.01x = 800

Add '-500' to each side of the equation.
500 + -500 + 0.01x = 800 + -500

Combine like terms: 500 + -500 = 0
0 + 0.01x = 800 + -500
0.01x = 800 + -500

Combine like terms: 800 + -500 = 300
0.01x = 300

Divide each side by '0.01'.
x = 30000

Simplifying
x = 30000

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