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

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


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

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

Reorder the terms:
4 + -5 + -4x + 3x = 1

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

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

Solving
-1 + -1x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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