6(3x-8)=6(x-4)+56

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Solution for 6(3x-8)=6(x-4)+56 equation:


Simplifying
6(3x + -8) = 6(x + -4) + 56

Reorder the terms:
6(-8 + 3x) = 6(x + -4) + 56
(-8 * 6 + 3x * 6) = 6(x + -4) + 56
(-48 + 18x) = 6(x + -4) + 56

Reorder the terms:
-48 + 18x = 6(-4 + x) + 56
-48 + 18x = (-4 * 6 + x * 6) + 56
-48 + 18x = (-24 + 6x) + 56

Reorder the terms:
-48 + 18x = -24 + 56 + 6x

Combine like terms: -24 + 56 = 32
-48 + 18x = 32 + 6x

Solving
-48 + 18x = 32 + 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.
-48 + 18x + -6x = 32 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-48 + 12x = 32 + 6x + -6x

Combine like terms: 6x + -6x = 0
-48 + 12x = 32 + 0
-48 + 12x = 32

Add '48' to each side of the equation.
-48 + 48 + 12x = 32 + 48

Combine like terms: -48 + 48 = 0
0 + 12x = 32 + 48
12x = 32 + 48

Combine like terms: 32 + 48 = 80
12x = 80

Divide each side by '12'.
x = 6.666666667

Simplifying
x = 6.666666667

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