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

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


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

Reorder the terms:
8(4 + x) + 2 = -3(x + 3) + -1
(4 * 8 + x * 8) + 2 = -3(x + 3) + -1
(32 + 8x) + 2 = -3(x + 3) + -1

Reorder the terms:
32 + 2 + 8x = -3(x + 3) + -1

Combine like terms: 32 + 2 = 34
34 + 8x = -3(x + 3) + -1

Reorder the terms:
34 + 8x = -3(3 + x) + -1
34 + 8x = (3 * -3 + x * -3) + -1
34 + 8x = (-9 + -3x) + -1

Reorder the terms:
34 + 8x = -9 + -1 + -3x

Combine like terms: -9 + -1 = -10
34 + 8x = -10 + -3x

Solving
34 + 8x = -10 + -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.
34 + 8x + 3x = -10 + -3x + 3x

Combine like terms: 8x + 3x = 11x
34 + 11x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + 11x = -10 + 0
34 + 11x = -10

Add '-34' to each side of the equation.
34 + -34 + 11x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + 11x = -10 + -34
11x = -10 + -34

Combine like terms: -10 + -34 = -44
11x = -44

Divide each side by '11'.
x = -4

Simplifying
x = -4

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