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

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


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

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

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

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

Combine like terms: 5x + x = 6x
-3 + X + 3x = -5 + 6x

Solving
-3 + X + 3x = -5 + 6x

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + 3x = -5 + 3 + 6x

Reorder the terms:
-3 + 3 + X + 3x = -5 + 3 + 6x

Combine like terms: -3 + 3 = 0
0 + X + 3x = -5 + 3 + 6x
X + 3x = -5 + 3 + 6x

Combine like terms: -5 + 3 = -2
X + 3x = -2 + 6x

Add '-3x' to each side of the equation.
X + 3x + -3x = -2 + 6x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = -2 + 6x + -3x
X = -2 + 6x + -3x

Combine like terms: 6x + -3x = 3x
X = -2 + 3x

Simplifying
X = -2 + 3x

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