2+3(x+6)=11-(5x+15)

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Solution for 2+3(x+6)=11-(5x+15) equation:


Simplifying
2 + 3(x + 6) = 11 + -1(5x + 15)

Reorder the terms:
2 + 3(6 + x) = 11 + -1(5x + 15)
2 + (6 * 3 + x * 3) = 11 + -1(5x + 15)
2 + (18 + 3x) = 11 + -1(5x + 15)

Combine like terms: 2 + 18 = 20
20 + 3x = 11 + -1(5x + 15)

Reorder the terms:
20 + 3x = 11 + -1(15 + 5x)
20 + 3x = 11 + (15 * -1 + 5x * -1)
20 + 3x = 11 + (-15 + -5x)

Combine like terms: 11 + -15 = -4
20 + 3x = -4 + -5x

Solving
20 + 3x = -4 + -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 = -4 + -5x + 5x

Combine like terms: 3x + 5x = 8x
20 + 8x = -4 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 8x = -4 + 0
20 + 8x = -4

Add '-20' to each side of the equation.
20 + -20 + 8x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = -4 + -20
8x = -4 + -20

Combine like terms: -4 + -20 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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