2(x+2)-7=3x-17

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Solution for 2(x+2)-7=3x-17 equation: 


Simplifying
2(x + 2) + -7 = 3x + -17

Reorder the terms:
2(2 + x) + -7 = 3x + -17
(2 * 2 + x * 2) + -7 = 3x + -17
(4 + 2x) + -7 = 3x + -17

Reorder the terms:
4 + -7 + 2x = 3x + -17

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

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

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

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

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

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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