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

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


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

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

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

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

Solving
4 + -1x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -1x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = -8 + 0
4 + -4x = -8

Add '-4' to each side of the equation.
4 + -4 + -4x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -8 + -4
-4x = -8 + -4

Combine like terms: -8 + -4 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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