3(x-1)+x=(x+2)

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Solution for 3(x-1)+x=(x+2) equation:


Simplifying
3(x + -1) + x = (x + 2)

Reorder the terms:
3(-1 + x) + x = (x + 2)
(-1 * 3 + x * 3) + x = (x + 2)
(-3 + 3x) + x = (x + 2)

Combine like terms: 3x + x = 4x
-3 + 4x = (x + 2)

Reorder the terms:
-3 + 4x = (2 + x)

Remove parenthesis around (2 + x)
-3 + 4x = 2 + x

Solving
-3 + 4x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 4x + -1x = 2 + x + -1x

Combine like terms: 4x + -1x = 3x
-3 + 3x = 2 + x + -1x

Combine like terms: x + -1x = 0
-3 + 3x = 2 + 0
-3 + 3x = 2

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

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

Combine like terms: 2 + 3 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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