-7X+74-7(X-1)=9X-(5X-2)-3X+4

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Solution for -7X+74-7(X-1)=9X-(5X-2)-3X+4 equation: 


Simplifying
-7X + 74 + -7(X + -1) = 9X + -1(5X + -2) + -3X + 4

Reorder the terms:
-7X + 74 + -7(-1 + X) = 9X + -1(5X + -2) + -3X + 4
-7X + 74 + (-1 * -7 + X * -7) = 9X + -1(5X + -2) + -3X + 4
-7X + 74 + (7 + -7X) = 9X + -1(5X + -2) + -3X + 4

Reorder the terms:
74 + 7 + -7X + -7X = 9X + -1(5X + -2) + -3X + 4

Combine like terms: 74 + 7 = 81
81 + -7X + -7X = 9X + -1(5X + -2) + -3X + 4

Combine like terms: -7X + -7X = -14X
81 + -14X = 9X + -1(5X + -2) + -3X + 4

Reorder the terms:
81 + -14X = 9X + -1(-2 + 5X) + -3X + 4
81 + -14X = 9X + (-2 * -1 + 5X * -1) + -3X + 4
81 + -14X = 9X + (2 + -5X) + -3X + 4

Reorder the terms:
81 + -14X = 2 + 4 + 9X + -5X + -3X

Combine like terms: 2 + 4 = 6
81 + -14X = 6 + 9X + -5X + -3X

Combine like terms: 9X + -5X = 4X
81 + -14X = 6 + 4X + -3X

Combine like terms: 4X + -3X = 1X
81 + -14X = 6 + 1X

Solving
81 + -14X = 6 + 1X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
81 + -14X + -1X = 6 + 1X + -1X

Combine like terms: -14X + -1X = -15X
81 + -15X = 6 + 1X + -1X

Combine like terms: 1X + -1X = 0
81 + -15X = 6 + 0
81 + -15X = 6

Add '-81' to each side of the equation.
81 + -81 + -15X = 6 + -81

Combine like terms: 81 + -81 = 0
0 + -15X = 6 + -81
-15X = 6 + -81

Combine like terms: 6 + -81 = -75
-15X = -75

Divide each side by '-15'.
X = 5

Simplifying
X = 5

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