9(3x+14)+7(9x-22)=1200100

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Solution for 9(3x+14)+7(9x-22)=1200100 equation:


Simplifying
9(3x + 14) + 7(9x + -22) = 1200100

Reorder the terms:
9(14 + 3x) + 7(9x + -22) = 1200100
(14 * 9 + 3x * 9) + 7(9x + -22) = 1200100
(126 + 27x) + 7(9x + -22) = 1200100

Reorder the terms:
126 + 27x + 7(-22 + 9x) = 1200100
126 + 27x + (-22 * 7 + 9x * 7) = 1200100
126 + 27x + (-154 + 63x) = 1200100

Reorder the terms:
126 + -154 + 27x + 63x = 1200100

Combine like terms: 126 + -154 = -28
-28 + 27x + 63x = 1200100

Combine like terms: 27x + 63x = 90x
-28 + 90x = 1200100

Solving
-28 + 90x = 1200100

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 90x = 1200100 + 28

Combine like terms: -28 + 28 = 0
0 + 90x = 1200100 + 28
90x = 1200100 + 28

Combine like terms: 1200100 + 28 = 1200128
90x = 1200128

Divide each side by '90'.
x = 13334.75556

Simplifying
x = 13334.75556

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