2(x+4)-4x+9=5-2(2x+6)

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Solution for 2(x+4)-4x+9=5-2(2x+6) equation:


Simplifying
2(x + 4) + -4x + 9 = 5 + -2(2x + 6)

Reorder the terms:
2(4 + x) + -4x + 9 = 5 + -2(2x + 6)
(4 * 2 + x * 2) + -4x + 9 = 5 + -2(2x + 6)
(8 + 2x) + -4x + 9 = 5 + -2(2x + 6)

Reorder the terms:
8 + 9 + 2x + -4x = 5 + -2(2x + 6)

Combine like terms: 8 + 9 = 17
17 + 2x + -4x = 5 + -2(2x + 6)

Combine like terms: 2x + -4x = -2x
17 + -2x = 5 + -2(2x + 6)

Reorder the terms:
17 + -2x = 5 + -2(6 + 2x)
17 + -2x = 5 + (6 * -2 + 2x * -2)
17 + -2x = 5 + (-12 + -4x)

Combine like terms: 5 + -12 = -7
17 + -2x = -7 + -4x

Solving
17 + -2x = -7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
17 + -2x + 4x = -7 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
17 + 2x = -7 + 0
17 + 2x = -7

Add '-17' to each side of the equation.
17 + -17 + 2x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -7 + -17
2x = -7 + -17

Combine like terms: -7 + -17 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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