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

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


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

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

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

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

Reorder the terms:
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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