17=2(x-2)+7

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Solution for 17=2(x-2)+7 equation:


Simplifying
17 = 2(x + -2) + 7

Reorder the terms:
17 = 2(-2 + x) + 7
17 = (-2 * 2 + x * 2) + 7
17 = (-4 + 2x) + 7

Reorder the terms:
17 = -4 + 7 + 2x

Combine like terms: -4 + 7 = 3
17 = 3 + 2x

Solving
17 = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
17 + -2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + -2x = 3 + 0
17 + -2x = 3

Add '-17' to each side of the equation.
17 + -17 + -2x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 3 + -17
-2x = 3 + -17

Combine like terms: 3 + -17 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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