[9(x+5)-18]-[3(x-4)+3]=

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Solution for [9(x+5)-18]-[3(x-4)+3]= equation:


Simplifying
[9(x + 5) + -18] + -1[3(x + -4) + 3] = 0

Reorder the terms:
[9(5 + x) + -18] + -1[3(x + -4) + 3] = 0
[(5 * 9 + x * 9) + -18] + -1[3(x + -4) + 3] = 0
[(45 + 9x) + -18] + -1[3(x + -4) + 3] = 0

Reorder the terms:
[45 + -18 + 9x] + -1[3(x + -4) + 3] = 0

Combine like terms: 45 + -18 = 27
[27 + 9x] + -1[3(x + -4) + 3] = 0

Remove brackets around [27 + 9x]
27 + 9x + -1[3(x + -4) + 3] = 0

Reorder the terms:
27 + 9x + -1[3(-4 + x) + 3] = 0
27 + 9x + -1[(-4 * 3 + x * 3) + 3] = 0
27 + 9x + -1[(-12 + 3x) + 3] = 0

Reorder the terms:
27 + 9x + -1[-12 + 3 + 3x] = 0

Combine like terms: -12 + 3 = -9
27 + 9x + -1[-9 + 3x] = 0
27 + 9x + [-9 * -1 + 3x * -1] = 0
27 + 9x + [9 + -3x] = 0

Reorder the terms:
27 + 9 + 9x + -3x = 0

Combine like terms: 27 + 9 = 36
36 + 9x + -3x = 0

Combine like terms: 9x + -3x = 6x
36 + 6x = 0

Solving
36 + 6x = 0

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 6x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 0 + -36
6x = 0 + -36

Combine like terms: 0 + -36 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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