X-9(X+5)-7=11+3(9-3X)-81

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Solution for X-9(X+5)-7=11+3(9-3X)-81 equation:


Simplifying
X + -9(X + 5) + -7 = 11 + 3(9 + -3X) + -81

Reorder the terms:
X + -9(5 + X) + -7 = 11 + 3(9 + -3X) + -81
X + (5 * -9 + X * -9) + -7 = 11 + 3(9 + -3X) + -81
X + (-45 + -9X) + -7 = 11 + 3(9 + -3X) + -81

Reorder the terms:
-45 + -7 + X + -9X = 11 + 3(9 + -3X) + -81

Combine like terms: -45 + -7 = -52
-52 + X + -9X = 11 + 3(9 + -3X) + -81

Combine like terms: X + -9X = -8X
-52 + -8X = 11 + 3(9 + -3X) + -81
-52 + -8X = 11 + (9 * 3 + -3X * 3) + -81
-52 + -8X = 11 + (27 + -9X) + -81

Reorder the terms:
-52 + -8X = 11 + 27 + -81 + -9X

Combine like terms: 11 + 27 = 38
-52 + -8X = 38 + -81 + -9X

Combine like terms: 38 + -81 = -43
-52 + -8X = -43 + -9X

Solving
-52 + -8X = -43 + -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
-52 + -8X + 9X = -43 + -9X + 9X

Combine like terms: -8X + 9X = 1X
-52 + 1X = -43 + -9X + 9X

Combine like terms: -9X + 9X = 0
-52 + 1X = -43 + 0
-52 + 1X = -43

Add '52' to each side of the equation.
-52 + 52 + 1X = -43 + 52

Combine like terms: -52 + 52 = 0
0 + 1X = -43 + 52
1X = -43 + 52

Combine like terms: -43 + 52 = 9
1X = 9

Divide each side by '1'.
X = 9

Simplifying
X = 9

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