5x-5[9(x+5)-(x-9)]-2=

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Solution for 5x-5[9(x+5)-(x-9)]-2= equation:


Simplifying
5x + -5[9(x + 5) + -1(x + -9)] + -2 = 0

Reorder the terms:
5x + -5[9(5 + x) + -1(x + -9)] + -2 = 0
5x + -5[(5 * 9 + x * 9) + -1(x + -9)] + -2 = 0
5x + -5[(45 + 9x) + -1(x + -9)] + -2 = 0

Reorder the terms:
5x + -5[45 + 9x + -1(-9 + x)] + -2 = 0
5x + -5[45 + 9x + (-9 * -1 + x * -1)] + -2 = 0
5x + -5[45 + 9x + (9 + -1x)] + -2 = 0

Reorder the terms:
5x + -5[45 + 9 + 9x + -1x] + -2 = 0

Combine like terms: 45 + 9 = 54
5x + -5[54 + 9x + -1x] + -2 = 0

Combine like terms: 9x + -1x = 8x
5x + -5[54 + 8x] + -2 = 0
5x + [54 * -5 + 8x * -5] + -2 = 0
5x + [-270 + -40x] + -2 = 0

Reorder the terms:
-270 + -2 + 5x + -40x = 0

Combine like terms: -270 + -2 = -272
-272 + 5x + -40x = 0

Combine like terms: 5x + -40x = -35x
-272 + -35x = 0

Solving
-272 + -35x = 0

Solving for variable 'x'.

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

Add '272' to each side of the equation.
-272 + 272 + -35x = 0 + 272

Combine like terms: -272 + 272 = 0
0 + -35x = 0 + 272
-35x = 0 + 272

Combine like terms: 0 + 272 = 272
-35x = 272

Divide each side by '-35'.
x = -7.771428571

Simplifying
x = -7.771428571

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