x*0.07+(35000-x)*0.09=2890

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Solution for x*0.07+(35000-x)*0.09=2890 equation:


Simplifying
x * 0.07 + (35000 + -1x) * 0.09 = 2890

Reorder the terms for easier multiplication:
0.07x + (35000 + -1x) * 0.09 = 2890

Reorder the terms for easier multiplication:
0.07x + 0.09(35000 + -1x) = 2890
0.07x + (35000 * 0.09 + -1x * 0.09) = 2890
0.07x + (3150 + -0.09x) = 2890

Reorder the terms:
3150 + 0.07x + -0.09x = 2890

Combine like terms: 0.07x + -0.09x = -0.02x
3150 + -0.02x = 2890

Solving
3150 + -0.02x = 2890

Solving for variable 'x'.

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

Add '-3150' to each side of the equation.
3150 + -3150 + -0.02x = 2890 + -3150

Combine like terms: 3150 + -3150 = 0
0 + -0.02x = 2890 + -3150
-0.02x = 2890 + -3150

Combine like terms: 2890 + -3150 = -260
-0.02x = -260

Divide each side by '-0.02'.
x = 13000

Simplifying
x = 13000

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