2+3[2(x-3)-x]=-15

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Solution for 2+3[2(x-3)-x]=-15 equation: 


Simplifying
2 + 3[2(x + -3) + -1x] = -15

Reorder the terms:
2 + 3[2(-3 + x) + -1x] = -15
2 + 3[(-3 * 2 + x * 2) + -1x] = -15
2 + 3[(-6 + 2x) + -1x] = -15

Combine like terms: 2x + -1x = 1x
2 + 3[-6 + 1x] = -15
2 + [-6 * 3 + 1x * 3] = -15
2 + [-18 + 3x] = -15

Combine like terms: 2 + -18 = -16
-16 + 3x = -15

Solving
-16 + 3x = -15

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 3x = -15 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -15 + 16
3x = -15 + 16

Combine like terms: -15 + 16 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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