3x+6(x+4)=2+(x-5)-9.5

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Solution for 3x+6(x+4)=2+(x-5)-9.5 equation:


Simplifying
3x + 6(x + 4) = 2 + (x + -5) + -9.5

Reorder the terms:
3x + 6(4 + x) = 2 + (x + -5) + -9.5
3x + (4 * 6 + x * 6) = 2 + (x + -5) + -9.5
3x + (24 + 6x) = 2 + (x + -5) + -9.5

Reorder the terms:
24 + 3x + 6x = 2 + (x + -5) + -9.5

Combine like terms: 3x + 6x = 9x
24 + 9x = 2 + (x + -5) + -9.5

Reorder the terms:
24 + 9x = 2 + (-5 + x) + -9.5

Remove parenthesis around (-5 + x)
24 + 9x = 2 + -5 + x + -9.5

Reorder the terms:
24 + 9x = 2 + -5 + -9.5 + x

Combine like terms: 2 + -5 = -3
24 + 9x = -3 + -9.5 + x

Combine like terms: -3 + -9.5 = -12.5
24 + 9x = -12.5 + x

Solving
24 + 9x = -12.5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + 9x + -1x = -12.5 + x + -1x

Combine like terms: 9x + -1x = 8x
24 + 8x = -12.5 + x + -1x

Combine like terms: x + -1x = 0
24 + 8x = -12.5 + 0
24 + 8x = -12.5

Add '-24' to each side of the equation.
24 + -24 + 8x = -12.5 + -24

Combine like terms: 24 + -24 = 0
0 + 8x = -12.5 + -24
8x = -12.5 + -24

Combine like terms: -12.5 + -24 = -36.5
8x = -36.5

Divide each side by '8'.
x = -4.5625

Simplifying
x = -4.5625

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