8+4x=3(-x+6)-24

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Solution for 8+4x=3(-x+6)-24 equation:


Simplifying
8 + 4x = 3(-1x + 6) + -24

Reorder the terms:
8 + 4x = 3(6 + -1x) + -24
8 + 4x = (6 * 3 + -1x * 3) + -24
8 + 4x = (18 + -3x) + -24

Reorder the terms:
8 + 4x = 18 + -24 + -3x

Combine like terms: 18 + -24 = -6
8 + 4x = -6 + -3x

Solving
8 + 4x = -6 + -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.
8 + 4x + 3x = -6 + -3x + 3x

Combine like terms: 4x + 3x = 7x
8 + 7x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 7x = -6 + 0
8 + 7x = -6

Add '-8' to each side of the equation.
8 + -8 + 7x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -6 + -8
7x = -6 + -8

Combine like terms: -6 + -8 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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