-2(x+6)-5=3(x+1)

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Solution for -2(x+6)-5=3(x+1) equation:


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

Reorder the terms:
-2(6 + x) + -5 = 3(x + 1)
(6 * -2 + x * -2) + -5 = 3(x + 1)
(-12 + -2x) + -5 = 3(x + 1)

Reorder the terms:
-12 + -5 + -2x = 3(x + 1)

Combine like terms: -12 + -5 = -17
-17 + -2x = 3(x + 1)

Reorder the terms:
-17 + -2x = 3(1 + x)
-17 + -2x = (1 * 3 + x * 3)
-17 + -2x = (3 + 3x)

Solving
-17 + -2x = 3 + 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 + -2x + -3x = 3 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-17 + -5x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + -5x = 3 + 0
-17 + -5x = 3

Add '17' to each side of the equation.
-17 + 17 + -5x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = 3 + 17
-5x = 3 + 17

Combine like terms: 3 + 17 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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