x(0.11)(1)+(165000-x)(0.09)(1)=16550

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Solution for x(0.11)(1)+(165000-x)(0.09)(1)=16550 equation:


Simplifying
x(0.11)(1) + (165000 + -1x)(0.09)(1) = 16550

Reorder the terms for easier multiplication:
0.11 * 1x + (165000 + -1x)(0.09)(1) = 16550

Multiply 0.11 * 1
0.11x + (165000 + -1x)(0.09)(1) = 16550

Reorder the terms for easier multiplication:
0.11x + 0.09 * 1(165000 + -1x) = 16550

Multiply 0.09 * 1
0.11x + 0.09(165000 + -1x) = 16550
0.11x + (165000 * 0.09 + -1x * 0.09) = 16550
0.11x + (14850 + -0.09x) = 16550

Reorder the terms:
14850 + 0.11x + -0.09x = 16550

Combine like terms: 0.11x + -0.09x = 0.02x
14850 + 0.02x = 16550

Solving
14850 + 0.02x = 16550

Solving for variable 'x'.

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

Add '-14850' to each side of the equation.
14850 + -14850 + 0.02x = 16550 + -14850

Combine like terms: 14850 + -14850 = 0
0 + 0.02x = 16550 + -14850
0.02x = 16550 + -14850

Combine like terms: 16550 + -14850 = 1700
0.02x = 1700

Divide each side by '0.02'.
x = 85000

Simplifying
x = 85000

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