4-3[x+2]-2[x-4]+8=1

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Solution for 4-3[x+2]-2[x-4]+8=1 equation: 


Simplifying
4 + -3[x + 2] + -2[x + -4] + 8 = 1

Reorder the terms:
4 + -3[2 + x] + -2[x + -4] + 8 = 1
4 + [2 * -3 + x * -3] + -2[x + -4] + 8 = 1
4 + [-6 + -3x] + -2[x + -4] + 8 = 1

Reorder the terms:
4 + -6 + -3x + -2[-4 + x] + 8 = 1
4 + -6 + -3x + [-4 * -2 + x * -2] + 8 = 1
4 + -6 + -3x + [8 + -2x] + 8 = 1

Reorder the terms:
4 + -6 + 8 + 8 + -3x + -2x = 1

Combine like terms: 4 + -6 = -2
-2 + 8 + 8 + -3x + -2x = 1

Combine like terms: -2 + 8 = 6
6 + 8 + -3x + -2x = 1

Combine like terms: 6 + 8 = 14
14 + -3x + -2x = 1

Combine like terms: -3x + -2x = -5x
14 + -5x = 1

Solving
14 + -5x = 1

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -5x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 1 + -14
-5x = 1 + -14

Combine like terms: 1 + -14 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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