x+(x+1)=48+(x+2)

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Solution for x+(x+1)=48+(x+2) equation:


Simplifying
x + (x + 1) = 48 + (x + 2)

Reorder the terms:
x + (1 + x) = 48 + (x + 2)

Remove parenthesis around (1 + x)
x + 1 + x = 48 + (x + 2)

Reorder the terms:
1 + x + x = 48 + (x + 2)

Combine like terms: x + x = 2x
1 + 2x = 48 + (x + 2)

Reorder the terms:
1 + 2x = 48 + (2 + x)

Remove parenthesis around (2 + x)
1 + 2x = 48 + 2 + x

Combine like terms: 48 + 2 = 50
1 + 2x = 50 + x

Solving
1 + 2x = 50 + 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.
1 + 2x + -1x = 50 + x + -1x

Combine like terms: 2x + -1x = 1x
1 + 1x = 50 + x + -1x

Combine like terms: x + -1x = 0
1 + 1x = 50 + 0
1 + 1x = 50

Add '-1' to each side of the equation.
1 + -1 + 1x = 50 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 50 + -1
1x = 50 + -1

Combine like terms: 50 + -1 = 49
1x = 49

Divide each side by '1'.
x = 49

Simplifying
x = 49

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