2(x+2)-5=3x-17

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Solution for 2(x+2)-5=3x-17 equation:


Simplifying
2(x + 2) + -5 = 3x + -17

Reorder the terms:
2(2 + x) + -5 = 3x + -17
(2 * 2 + x * 2) + -5 = 3x + -17
(4 + 2x) + -5 = 3x + -17

Reorder the terms:
4 + -5 + 2x = 3x + -17

Combine like terms: 4 + -5 = -1
-1 + 2x = 3x + -17

Reorder the terms:
-1 + 2x = -17 + 3x

Solving
-1 + 2x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = -17 + 3x + -3x

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

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

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

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

Combine like terms: -17 + 1 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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