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

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


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

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

Combine like terms: 3x + 2x = 5x
-3 + 5x = 3(x + -1) + 2

Reorder the terms:
-3 + 5x = 3(-1 + x) + 2
-3 + 5x = (-1 * 3 + x * 3) + 2
-3 + 5x = (-3 + 3x) + 2

Reorder the terms:
-3 + 5x = -3 + 2 + 3x

Combine like terms: -3 + 2 = -1
-3 + 5x = -1 + 3x

Solving
-3 + 5x = -1 + 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.
-3 + 5x + -3x = -1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-3 + 2x = -1 + 3x + -3x

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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