3(x+6)+2=-5(x+7)

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Solution for 3(x+6)+2=-5(x+7) equation:


Simplifying
3(x + 6) + 2 = -5(x + 7)

Reorder the terms:
3(6 + x) + 2 = -5(x + 7)
(6 * 3 + x * 3) + 2 = -5(x + 7)
(18 + 3x) + 2 = -5(x + 7)

Reorder the terms:
18 + 2 + 3x = -5(x + 7)

Combine like terms: 18 + 2 = 20
20 + 3x = -5(x + 7)

Reorder the terms:
20 + 3x = -5(7 + x)
20 + 3x = (7 * -5 + x * -5)
20 + 3x = (-35 + -5x)

Solving
20 + 3x = -35 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
20 + 3x + 5x = -35 + -5x + 5x

Combine like terms: 3x + 5x = 8x
20 + 8x = -35 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 8x = -35 + 0
20 + 8x = -35

Add '-20' to each side of the equation.
20 + -20 + 8x = -35 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = -35 + -20
8x = -35 + -20

Combine like terms: -35 + -20 = -55
8x = -55

Divide each side by '8'.
x = -6.875

Simplifying
x = -6.875

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