2(8+4x)+1=-3(x-2)

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Solution for 2(8+4x)+1=-3(x-2) equation:


Simplifying
2(8 + 4x) + 1 = -3(x + -2)
(8 * 2 + 4x * 2) + 1 = -3(x + -2)
(16 + 8x) + 1 = -3(x + -2)

Reorder the terms:
16 + 1 + 8x = -3(x + -2)

Combine like terms: 16 + 1 = 17
17 + 8x = -3(x + -2)

Reorder the terms:
17 + 8x = -3(-2 + x)
17 + 8x = (-2 * -3 + x * -3)
17 + 8x = (6 + -3x)

Solving
17 + 8x = 6 + -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.
17 + 8x + 3x = 6 + -3x + 3x

Combine like terms: 8x + 3x = 11x
17 + 11x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 11x = 6 + 0
17 + 11x = 6

Add '-17' to each side of the equation.
17 + -17 + 11x = 6 + -17

Combine like terms: 17 + -17 = 0
0 + 11x = 6 + -17
11x = 6 + -17

Combine like terms: 6 + -17 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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