-2[x+3(x-1)]=18

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Solution for -2[x+3(x-1)]=18 equation:


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

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

Reorder the terms:
-2[-3 + x + 3x] = 18

Combine like terms: x + 3x = 4x
-2[-3 + 4x] = 18
[-3 * -2 + 4x * -2] = 18
[6 + -8x] = 18

Solving
6 + -8x = 18

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -8x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 18 + -6
-8x = 18 + -6

Combine like terms: 18 + -6 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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