24+24x+24+6(x-3)=8x-(5x-3)+36x

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Solution for 24+24x+24+6(x-3)=8x-(5x-3)+36x equation: 


Simplifying
24 + 24x + 24 + 6(x + -3) = 8x + -1(5x + -3) + 36x

Reorder the terms:
24 + 24x + 24 + 6(-3 + x) = 8x + -1(5x + -3) + 36x
24 + 24x + 24 + (-3 * 6 + x * 6) = 8x + -1(5x + -3) + 36x
24 + 24x + 24 + (-18 + 6x) = 8x + -1(5x + -3) + 36x

Reorder the terms:
24 + 24 + -18 + 24x + 6x = 8x + -1(5x + -3) + 36x

Combine like terms: 24 + 24 = 48
48 + -18 + 24x + 6x = 8x + -1(5x + -3) + 36x

Combine like terms: 48 + -18 = 30
30 + 24x + 6x = 8x + -1(5x + -3) + 36x

Combine like terms: 24x + 6x = 30x
30 + 30x = 8x + -1(5x + -3) + 36x

Reorder the terms:
30 + 30x = 8x + -1(-3 + 5x) + 36x
30 + 30x = 8x + (-3 * -1 + 5x * -1) + 36x
30 + 30x = 8x + (3 + -5x) + 36x

Reorder the terms:
30 + 30x = 3 + 8x + -5x + 36x

Combine like terms: 8x + -5x = 3x
30 + 30x = 3 + 3x + 36x

Combine like terms: 3x + 36x = 39x
30 + 30x = 3 + 39x

Solving
30 + 30x = 3 + 39x

Solving for variable 'x'.

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

Add '-39x' to each side of the equation.
30 + 30x + -39x = 3 + 39x + -39x

Combine like terms: 30x + -39x = -9x
30 + -9x = 3 + 39x + -39x

Combine like terms: 39x + -39x = 0
30 + -9x = 3 + 0
30 + -9x = 3

Add '-30' to each side of the equation.
30 + -30 + -9x = 3 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = 3 + -30
-9x = 3 + -30

Combine like terms: 3 + -30 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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