x-[5x-3+(3x+2x-3-18)-30]=9

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Solution for x-[5x-3+(3x+2x-3-18)-30]=9 equation:


Simplifying
x + -1[5x + -3 + (3x + 2x + -3 + -18) + -30] = 9

Reorder the terms:
x + -1[5x + -3 + (-3 + -18 + 3x + 2x) + -30] = 9

Combine like terms: -3 + -18 = -21
x + -1[5x + -3 + (-21 + 3x + 2x) + -30] = 9

Combine like terms: 3x + 2x = 5x
x + -1[5x + -3 + (-21 + 5x) + -30] = 9

Remove parenthesis around (-21 + 5x)
x + -1[5x + -3 + -21 + 5x + -30] = 9

Reorder the terms:
x + -1[-3 + -21 + -30 + 5x + 5x] = 9

Combine like terms: -3 + -21 = -24
x + -1[-24 + -30 + 5x + 5x] = 9

Combine like terms: -24 + -30 = -54
x + -1[-54 + 5x + 5x] = 9

Combine like terms: 5x + 5x = 10x
x + -1[-54 + 10x] = 9
x + [-54 * -1 + 10x * -1] = 9
x + [54 + -10x] = 9

Reorder the terms:
54 + x + -10x = 9

Combine like terms: x + -10x = -9x
54 + -9x = 9

Solving
54 + -9x = 9

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + -9x = 9 + -54

Combine like terms: 54 + -54 = 0
0 + -9x = 9 + -54
-9x = 9 + -54

Combine like terms: 9 + -54 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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