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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