3(x+2)+14=-2(x+8)+1

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Solution for 3(x+2)+14=-2(x+8)+1 equation: 


Simplifying
3(x + 2) + 14 = -2(x + 8) + 1

Reorder the terms:
3(2 + x) + 14 = -2(x + 8) + 1
(2 * 3 + x * 3) + 14 = -2(x + 8) + 1
(6 + 3x) + 14 = -2(x + 8) + 1

Reorder the terms:
6 + 14 + 3x = -2(x + 8) + 1

Combine like terms: 6 + 14 = 20
20 + 3x = -2(x + 8) + 1

Reorder the terms:
20 + 3x = -2(8 + x) + 1
20 + 3x = (8 * -2 + x * -2) + 1
20 + 3x = (-16 + -2x) + 1

Reorder the terms:
20 + 3x = -16 + 1 + -2x

Combine like terms: -16 + 1 = -15
20 + 3x = -15 + -2x

Solving
20 + 3x = -15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 3x + 2x = -15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
20 + 5x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 5x = -15 + 0
20 + 5x = -15

Add '-20' to each side of the equation.
20 + -20 + 5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -15 + -20
5x = -15 + -20

Combine like terms: -15 + -20 = -35
5x = -35

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

Simplifying
x = -7

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