x+(x+1)+(x+2)=(x-47)

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Solution for x+(x+1)+(x+2)=(x-47) equation:


Simplifying
x + (x + 1) + (x + 2) = (x + -47)

Reorder the terms:
x + (1 + x) + (x + 2) = (x + -47)

Remove parenthesis around (1 + x)
x + 1 + x + (x + 2) = (x + -47)

Reorder the terms:
x + 1 + x + (2 + x) = (x + -47)

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x = (x + -47)

Reorder the terms:
1 + 2 + x + x + x = (x + -47)

Combine like terms: 1 + 2 = 3
3 + x + x + x = (x + -47)

Combine like terms: x + x = 2x
3 + 2x + x = (x + -47)

Combine like terms: 2x + x = 3x
3 + 3x = (x + -47)

Reorder the terms:
3 + 3x = (-47 + x)

Remove parenthesis around (-47 + x)
3 + 3x = -47 + x

Solving
3 + 3x = -47 + 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 + 3x + -1x = -47 + x + -1x

Combine like terms: 3x + -1x = 2x
3 + 2x = -47 + x + -1x

Combine like terms: x + -1x = 0
3 + 2x = -47 + 0
3 + 2x = -47

Add '-3' to each side of the equation.
3 + -3 + 2x = -47 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -47 + -3
2x = -47 + -3

Combine like terms: -47 + -3 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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