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

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


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

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

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

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

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

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

Solving
2 + 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.
2 + 5x + -3x = -1 + 3x + -3x

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

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

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

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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