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

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


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

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

Reorder the terms:
4 + 2x = 7(-2 + x) + -17
4 + 2x = (-2 * 7 + x * 7) + -17
4 + 2x = (-14 + 7x) + -17

Reorder the terms:
4 + 2x = -14 + -17 + 7x

Combine like terms: -14 + -17 = -31
4 + 2x = -31 + 7x

Solving
4 + 2x = -31 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 2x + -7x = -31 + 7x + -7x

Combine like terms: 2x + -7x = -5x
4 + -5x = -31 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -5x = -31 + 0
4 + -5x = -31

Add '-4' to each side of the equation.
4 + -4 + -5x = -31 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -31 + -4
-5x = -31 + -4

Combine like terms: -31 + -4 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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