(806+x)+.2(806+x)+.07(806+x)=1300

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Solution for (806+x)+.2(806+x)+.07(806+x)=1300 equation:


Simplifying
(806 + x) + 0.2(806 + x) + 0.07(806 + x) = 1300

Remove parenthesis around (806 + x)
806 + x + 0.2(806 + x) + 0.07(806 + x) = 1300
806 + x + (806 * 0.2 + x * 0.2) + 0.07(806 + x) = 1300
806 + x + (161.2 + 0.2x) + 0.07(806 + x) = 1300
806 + x + 161.2 + 0.2x + (806 * 0.07 + x * 0.07) = 1300
806 + x + 161.2 + 0.2x + (56.42 + 0.07x) = 1300

Reorder the terms:
806 + 161.2 + 56.42 + x + 0.2x + 0.07x = 1300

Combine like terms: 806 + 161.2 = 967.2
967.2 + 56.42 + x + 0.2x + 0.07x = 1300

Combine like terms: 967.2 + 56.42 = 1023.62
1023.62 + x + 0.2x + 0.07x = 1300

Combine like terms: x + 0.2x = 1.2x
1023.62 + 1.2x + 0.07x = 1300

Combine like terms: 1.2x + 0.07x = 1.27x
1023.62 + 1.27x = 1300

Solving
1023.62 + 1.27x = 1300

Solving for variable 'x'.

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

Add '-1023.62' to each side of the equation.
1023.62 + -1023.62 + 1.27x = 1300 + -1023.62

Combine like terms: 1023.62 + -1023.62 = 0.00
0.00 + 1.27x = 1300 + -1023.62
1.27x = 1300 + -1023.62

Combine like terms: 1300 + -1023.62 = 276.38
1.27x = 276.38

Divide each side by '1.27'.
x = 217.6220472

Simplifying
x = 217.6220472

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