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

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


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

Reorder the terms:
3[1 + -3(2 + x)] = -1x
3[1 + (2 * -3 + x * -3)] = -1x
3[1 + (-6 + -3x)] = -1x

Combine like terms: 1 + -6 = -5
3[-5 + -3x] = -1x
[-5 * 3 + -3x * 3] = -1x
[-15 + -9x] = -1x

Solving
-15 + -9x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + -9x + x = -1x + x

Combine like terms: -9x + x = -8x
-15 + -8x = -1x + x

Combine like terms: -1x + x = 0
-15 + -8x = 0

Add '15' to each side of the equation.
-15 + 15 + -8x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = 0 + 15
-8x = 0 + 15

Combine like terms: 0 + 15 = 15
-8x = 15

Divide each side by '-8'.
x = -1.875

Simplifying
x = -1.875

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