x+(x+2)=46+(x+4)

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Solution for x+(x+2)=46+(x+4) equation: 


Simplifying
x + (x + 2) = 46 + (x + 4)

Reorder the terms:
x + (2 + x) = 46 + (x + 4)

Remove parenthesis around (2 + x)
x + 2 + x = 46 + (x + 4)

Reorder the terms:
2 + x + x = 46 + (x + 4)

Combine like terms: x + x = 2x
2 + 2x = 46 + (x + 4)

Reorder the terms:
2 + 2x = 46 + (4 + x)

Remove parenthesis around (4 + x)
2 + 2x = 46 + 4 + x

Combine like terms: 46 + 4 = 50
2 + 2x = 50 + x

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

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

Combine like terms: x + -1x = 0
2 + 1x = 50 + 0
2 + 1x = 50

Add '-2' to each side of the equation.
2 + -2 + 1x = 50 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 50 + -2
1x = 50 + -2

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

Divide each side by '1'.
x = 48

Simplifying
x = 48

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