5+3(x+4)-6(x-13)-2(x+7)=5(x-9)+4

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Solution for 5+3(x+4)-6(x-13)-2(x+7)=5(x-9)+4 equation: 


Simplifying
5 + 3(x + 4) + -6(x + -13) + -2(x + 7) = 5(x + -9) + 4

Reorder the terms:
5 + 3(4 + x) + -6(x + -13) + -2(x + 7) = 5(x + -9) + 4
5 + (4 * 3 + x * 3) + -6(x + -13) + -2(x + 7) = 5(x + -9) + 4
5 + (12 + 3x) + -6(x + -13) + -2(x + 7) = 5(x + -9) + 4

Reorder the terms:
5 + 12 + 3x + -6(-13 + x) + -2(x + 7) = 5(x + -9) + 4
5 + 12 + 3x + (-13 * -6 + x * -6) + -2(x + 7) = 5(x + -9) + 4
5 + 12 + 3x + (78 + -6x) + -2(x + 7) = 5(x + -9) + 4

Reorder the terms:
5 + 12 + 3x + 78 + -6x + -2(7 + x) = 5(x + -9) + 4
5 + 12 + 3x + 78 + -6x + (7 * -2 + x * -2) = 5(x + -9) + 4
5 + 12 + 3x + 78 + -6x + (-14 + -2x) = 5(x + -9) + 4

Reorder the terms:
5 + 12 + 78 + -14 + 3x + -6x + -2x = 5(x + -9) + 4

Combine like terms: 5 + 12 = 17
17 + 78 + -14 + 3x + -6x + -2x = 5(x + -9) + 4

Combine like terms: 17 + 78 = 95
95 + -14 + 3x + -6x + -2x = 5(x + -9) + 4

Combine like terms: 95 + -14 = 81
81 + 3x + -6x + -2x = 5(x + -9) + 4

Combine like terms: 3x + -6x = -3x
81 + -3x + -2x = 5(x + -9) + 4

Combine like terms: -3x + -2x = -5x
81 + -5x = 5(x + -9) + 4

Reorder the terms:
81 + -5x = 5(-9 + x) + 4
81 + -5x = (-9 * 5 + x * 5) + 4
81 + -5x = (-45 + 5x) + 4

Reorder the terms:
81 + -5x = -45 + 4 + 5x

Combine like terms: -45 + 4 = -41
81 + -5x = -41 + 5x

Solving
81 + -5x = -41 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
81 + -5x + -5x = -41 + 5x + -5x

Combine like terms: -5x + -5x = -10x
81 + -10x = -41 + 5x + -5x

Combine like terms: 5x + -5x = 0
81 + -10x = -41 + 0
81 + -10x = -41

Add '-81' to each side of the equation.
81 + -81 + -10x = -41 + -81

Combine like terms: 81 + -81 = 0
0 + -10x = -41 + -81
-10x = -41 + -81

Combine like terms: -41 + -81 = -122
-10x = -122

Divide each side by '-10'.
x = 12.2

Simplifying
x = 12.2

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