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

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


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

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

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

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

Combine like terms: 8 + -3 = 5
5 + 4x + -1x + 2x + -3x = 1

Combine like terms: 4x + -1x = 3x
5 + 3x + 2x + -3x = 1

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

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

Solving
5 + 2x = 1

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 1 + -5
2x = 1 + -5

Combine like terms: 1 + -5 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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