8(3x+4)=3(x-6)-18

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Solution for 8(3x+4)=3(x-6)-18 equation: 


Simplifying
8(3x + 4) = 3(x + -6) + -18

Reorder the terms:
8(4 + 3x) = 3(x + -6) + -18
(4 * 8 + 3x * 8) = 3(x + -6) + -18
(32 + 24x) = 3(x + -6) + -18

Reorder the terms:
32 + 24x = 3(-6 + x) + -18
32 + 24x = (-6 * 3 + x * 3) + -18
32 + 24x = (-18 + 3x) + -18

Reorder the terms:
32 + 24x = -18 + -18 + 3x

Combine like terms: -18 + -18 = -36
32 + 24x = -36 + 3x

Solving
32 + 24x = -36 + 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.
32 + 24x + -3x = -36 + 3x + -3x

Combine like terms: 24x + -3x = 21x
32 + 21x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 21x = -36 + 0
32 + 21x = -36

Add '-32' to each side of the equation.
32 + -32 + 21x = -36 + -32

Combine like terms: 32 + -32 = 0
0 + 21x = -36 + -32
21x = -36 + -32

Combine like terms: -36 + -32 = -68
21x = -68

Divide each side by '21'.
x = -3.238095238

Simplifying
x = -3.238095238

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