(2x+5)-(x+2)=17

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Solution for (2x+5)-(x+2)=17 equation:


Simplifying
(2x + 5) + -1(x + 2) = 17

Reorder the terms:
(5 + 2x) + -1(x + 2) = 17

Remove parenthesis around (5 + 2x)
5 + 2x + -1(x + 2) = 17

Reorder the terms:
5 + 2x + -1(2 + x) = 17
5 + 2x + (2 * -1 + x * -1) = 17
5 + 2x + (-2 + -1x) = 17

Reorder the terms:
5 + -2 + 2x + -1x = 17

Combine like terms: 5 + -2 = 3
3 + 2x + -1x = 17

Combine like terms: 2x + -1x = 1x
3 + 1x = 17

Solving
3 + 1x = 17

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 17 + -3
1x = 17 + -3

Combine like terms: 17 + -3 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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