X-(0.2*200000)-0.32*(X-200000)=300000

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Solution for X-(0.2*200000)-0.32*(X-200000)=300000 equation:


Simplifying
X + -1(0.2 * 200000) + -0.32(X + -200000) = 300000

Multiply 0.2 * 200000
X + -1(40000) + -0.32(X + -200000) = 300000

Multiply -1 * 40000
X + -40000 + -0.32(X + -200000) = 300000

Reorder the terms:
X + -40000 + -0.32(-200000 + X) = 300000
X + -40000 + (-200000 * -0.32 + X * -0.32) = 300000
X + -40000 + (64000 + -0.32X) = 300000

Reorder the terms:
-40000 + 64000 + X + -0.32X = 300000

Combine like terms: -40000 + 64000 = 24000
24000 + X + -0.32X = 300000

Combine like terms: X + -0.32X = 0.68X
24000 + 0.68X = 300000

Solving
24000 + 0.68X = 300000

Solving for variable 'X'.

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

Add '-24000' to each side of the equation.
24000 + -24000 + 0.68X = 300000 + -24000

Combine like terms: 24000 + -24000 = 0
0 + 0.68X = 300000 + -24000
0.68X = 300000 + -24000

Combine like terms: 300000 + -24000 = 276000
0.68X = 276000

Divide each side by '0.68'.
X = 405882.3529

Simplifying
X = 405882.3529

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