3-2(x-4)=2x-5-x+1

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Solution for 3-2(x-4)=2x-5-x+1 equation: 


Simplifying
3 + -2(x + -4) = 2x + -5 + -1x + 1

Reorder the terms:
3 + -2(-4 + x) = 2x + -5 + -1x + 1
3 + (-4 * -2 + x * -2) = 2x + -5 + -1x + 1
3 + (8 + -2x) = 2x + -5 + -1x + 1

Combine like terms: 3 + 8 = 11
11 + -2x = 2x + -5 + -1x + 1

Reorder the terms:
11 + -2x = -5 + 1 + 2x + -1x

Combine like terms: -5 + 1 = -4
11 + -2x = -4 + 2x + -1x

Combine like terms: 2x + -1x = 1x
11 + -2x = -4 + 1x

Solving
11 + -2x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + -2x + -1x = -4 + 1x + -1x

Combine like terms: -2x + -1x = -3x
11 + -3x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
11 + -3x = -4 + 0
11 + -3x = -4

Add '-11' to each side of the equation.
11 + -11 + -3x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -4 + -11
-3x = -4 + -11

Combine like terms: -4 + -11 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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