3(x+4)+2(4x+8)=-5

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Solution for 3(x+4)+2(4x+8)=-5 equation:


Simplifying
3(x + 4) + 2(4x + 8) = -5

Reorder the terms:
3(4 + x) + 2(4x + 8) = -5
(4 * 3 + x * 3) + 2(4x + 8) = -5
(12 + 3x) + 2(4x + 8) = -5

Reorder the terms:
12 + 3x + 2(8 + 4x) = -5
12 + 3x + (8 * 2 + 4x * 2) = -5
12 + 3x + (16 + 8x) = -5

Reorder the terms:
12 + 16 + 3x + 8x = -5

Combine like terms: 12 + 16 = 28
28 + 3x + 8x = -5

Combine like terms: 3x + 8x = 11x
28 + 11x = -5

Solving
28 + 11x = -5

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 11x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + 11x = -5 + -28
11x = -5 + -28

Combine like terms: -5 + -28 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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