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

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


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

Reorder the terms:
6(-8 + 3x) + -6 = 6(x + -3) + 24
(-8 * 6 + 3x * 6) + -6 = 6(x + -3) + 24
(-48 + 18x) + -6 = 6(x + -3) + 24

Reorder the terms:
-48 + -6 + 18x = 6(x + -3) + 24

Combine like terms: -48 + -6 = -54
-54 + 18x = 6(x + -3) + 24

Reorder the terms:
-54 + 18x = 6(-3 + x) + 24
-54 + 18x = (-3 * 6 + x * 6) + 24
-54 + 18x = (-18 + 6x) + 24

Reorder the terms:
-54 + 18x = -18 + 24 + 6x

Combine like terms: -18 + 24 = 6
-54 + 18x = 6 + 6x

Solving
-54 + 18x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-54 + 18x + -6x = 6 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-54 + 12x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-54 + 12x = 6 + 0
-54 + 12x = 6

Add '54' to each side of the equation.
-54 + 54 + 12x = 6 + 54

Combine like terms: -54 + 54 = 0
0 + 12x = 6 + 54
12x = 6 + 54

Combine like terms: 6 + 54 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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