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

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


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

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

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

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

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

Solving
5 + x = -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.
5 + x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + -3x = -4 + 0
5 + -3x = -4

Add '-5' to each side of the equation.
5 + -5 + -3x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -4 + -5
-3x = -4 + -5

Combine like terms: -4 + -5 = -9
-3x = -9

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

Simplifying
x = 3

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