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

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


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

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

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

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

Solving
4 + 3x = -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.
4 + 3x + -1x = -2 + x + -1x

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

Combine like terms: x + -1x = 0
4 + 2x = -2 + 0
4 + 2x = -2

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

Combine like terms: 4 + -4 = 0
0 + 2x = -2 + -4
2x = -2 + -4

Combine like terms: -2 + -4 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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