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

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


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

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

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

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

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

Solving
-3 + 3x = -4 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 1

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