3(x+1)=24-8(x+5)

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Solution for 3(x+1)=24-8(x+5) equation:


Simplifying
3(x + 1) = 24 + -8(x + 5)

Reorder the terms:
3(1 + x) = 24 + -8(x + 5)
(1 * 3 + x * 3) = 24 + -8(x + 5)
(3 + 3x) = 24 + -8(x + 5)

Reorder the terms:
3 + 3x = 24 + -8(5 + x)
3 + 3x = 24 + (5 * -8 + x * -8)
3 + 3x = 24 + (-40 + -8x)

Combine like terms: 24 + -40 = -16
3 + 3x = -16 + -8x

Solving
3 + 3x = -16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + 3x + 8x = -16 + -8x + 8x

Combine like terms: 3x + 8x = 11x
3 + 11x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 11x = -16 + 0
3 + 11x = -16

Add '-3' to each side of the equation.
3 + -3 + 11x = -16 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = -16 + -3
11x = -16 + -3

Combine like terms: -16 + -3 = -19
11x = -19

Divide each side by '11'.
x = -1.727272727

Simplifying
x = -1.727272727

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