2-3(x-5)+8=4[5x-7(3x+2)]-9x

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Solution for 2-3(x-5)+8=4[5x-7(3x+2)]-9x equation: 


Simplifying
2 + -3(x + -5) + 8 = 4[5x + -7(3x + 2)] + -9x

Reorder the terms:
2 + -3(-5 + x) + 8 = 4[5x + -7(3x + 2)] + -9x
2 + (-5 * -3 + x * -3) + 8 = 4[5x + -7(3x + 2)] + -9x
2 + (15 + -3x) + 8 = 4[5x + -7(3x + 2)] + -9x

Reorder the terms:
2 + 15 + 8 + -3x = 4[5x + -7(3x + 2)] + -9x

Combine like terms: 2 + 15 = 17
17 + 8 + -3x = 4[5x + -7(3x + 2)] + -9x

Combine like terms: 17 + 8 = 25
25 + -3x = 4[5x + -7(3x + 2)] + -9x

Reorder the terms:
25 + -3x = 4[5x + -7(2 + 3x)] + -9x
25 + -3x = 4[5x + (2 * -7 + 3x * -7)] + -9x
25 + -3x = 4[5x + (-14 + -21x)] + -9x

Reorder the terms:
25 + -3x = 4[-14 + 5x + -21x] + -9x

Combine like terms: 5x + -21x = -16x
25 + -3x = 4[-14 + -16x] + -9x
25 + -3x = [-14 * 4 + -16x * 4] + -9x
25 + -3x = [-56 + -64x] + -9x

Combine like terms: -64x + -9x = -73x
25 + -3x = -56 + -73x

Solving
25 + -3x = -56 + -73x

Solving for variable 'x'.

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

Add '73x' to each side of the equation.
25 + -3x + 73x = -56 + -73x + 73x

Combine like terms: -3x + 73x = 70x
25 + 70x = -56 + -73x + 73x

Combine like terms: -73x + 73x = 0
25 + 70x = -56 + 0
25 + 70x = -56

Add '-25' to each side of the equation.
25 + -25 + 70x = -56 + -25

Combine like terms: 25 + -25 = 0
0 + 70x = -56 + -25
70x = -56 + -25

Combine like terms: -56 + -25 = -81
70x = -81

Divide each side by '70'.
x = -1.157142857

Simplifying
x = -1.157142857

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