X+(x+3)+(X-2)=46

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Solution for X+(x+3)+(X-2)=46 equation:


Simplifying
X + (x + 3) + (X + -2) = 46

Reorder the terms:
X + (3 + x) + (X + -2) = 46

Remove parenthesis around (3 + x)
X + 3 + x + (X + -2) = 46

Reorder the terms:
X + 3 + x + (-2 + X) = 46

Remove parenthesis around (-2 + X)
X + 3 + x + -2 + X = 46

Reorder the terms:
3 + -2 + X + X + x = 46

Combine like terms: 3 + -2 = 1
1 + X + X + x = 46

Combine like terms: X + X = 2X
1 + 2X + x = 46

Solving
1 + 2X + x = 46

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + 2X + -1 + x = 46 + -1

Reorder the terms:
1 + -1 + 2X + x = 46 + -1

Combine like terms: 1 + -1 = 0
0 + 2X + x = 46 + -1
2X + x = 46 + -1

Combine like terms: 46 + -1 = 45
2X + x = 45

Add '-1x' to each side of the equation.
2X + x + -1x = 45 + -1x

Combine like terms: x + -1x = 0
2X + 0 = 45 + -1x
2X = 45 + -1x

Divide each side by '2'.
X = 22.5 + -0.5x

Simplifying
X = 22.5 + -0.5x

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