4x-2(x-3)-3(4-2x)+8=-1

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Solution for 4x-2(x-3)-3(4-2x)+8=-1 equation: 


Simplifying
4x + -2(x + -3) + -3(4 + -2x) + 8 = -1

Reorder the terms:
4x + -2(-3 + x) + -3(4 + -2x) + 8 = -1
4x + (-3 * -2 + x * -2) + -3(4 + -2x) + 8 = -1
4x + (6 + -2x) + -3(4 + -2x) + 8 = -1
4x + 6 + -2x + (4 * -3 + -2x * -3) + 8 = -1
4x + 6 + -2x + (-12 + 6x) + 8 = -1

Reorder the terms:
6 + -12 + 8 + 4x + -2x + 6x = -1

Combine like terms: 6 + -12 = -6
-6 + 8 + 4x + -2x + 6x = -1

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

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

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

Solving
2 + 8x = -1

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -1 + -2
8x = -1 + -2

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

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375

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