(x-2)+x+3=10

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Solution for (x-2)+x+3=10 equation:


Simplifying
(x + -2) + x + 3 = 10

Reorder the terms:
(-2 + x) + x + 3 = 10

Remove parenthesis around (-2 + x)
-2 + x + x + 3 = 10

Reorder the terms:
-2 + 3 + x + x = 10

Combine like terms: -2 + 3 = 1
1 + x + x = 10

Combine like terms: x + x = 2x
1 + 2x = 10

Solving
1 + 2x = 10

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 + -1 + 2x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 10 + -1
2x = 10 + -1

Combine like terms: 10 + -1 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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