3(x+1)+4=x-(x+2)

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Solution for 3(x+1)+4=x-(x+2) equation:


Simplifying
3(x + 1) + 4 = x + -1(x + 2)

Reorder the terms:
3(1 + x) + 4 = x + -1(x + 2)
(1 * 3 + x * 3) + 4 = x + -1(x + 2)
(3 + 3x) + 4 = x + -1(x + 2)

Reorder the terms:
3 + 4 + 3x = x + -1(x + 2)

Combine like terms: 3 + 4 = 7
7 + 3x = x + -1(x + 2)

Reorder the terms:
7 + 3x = x + -1(2 + x)
7 + 3x = x + (2 * -1 + x * -1)
7 + 3x = x + (-2 + -1x)

Reorder the terms:
7 + 3x = -2 + x + -1x

Combine like terms: x + -1x = 0
7 + 3x = -2 + 0
7 + 3x = -2

Solving
7 + 3x = -2

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -2 + -7
3x = -2 + -7

Combine like terms: -2 + -7 = -9
3x = -9

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

Simplifying
x = -3

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