6(3x-8)-8=6(x-2)+28

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Solution for 6(3x-8)-8=6(x-2)+28 equation:


Simplifying
6(3x + -8) + -8 = 6(x + -2) + 28

Reorder the terms:
6(-8 + 3x) + -8 = 6(x + -2) + 28
(-8 * 6 + 3x * 6) + -8 = 6(x + -2) + 28
(-48 + 18x) + -8 = 6(x + -2) + 28

Reorder the terms:
-48 + -8 + 18x = 6(x + -2) + 28

Combine like terms: -48 + -8 = -56
-56 + 18x = 6(x + -2) + 28

Reorder the terms:
-56 + 18x = 6(-2 + x) + 28
-56 + 18x = (-2 * 6 + x * 6) + 28
-56 + 18x = (-12 + 6x) + 28

Reorder the terms:
-56 + 18x = -12 + 28 + 6x

Combine like terms: -12 + 28 = 16
-56 + 18x = 16 + 6x

Solving
-56 + 18x = 16 + 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.
-56 + 18x + -6x = 16 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-56 + 12x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-56 + 12x = 16 + 0
-56 + 12x = 16

Add '56' to each side of the equation.
-56 + 56 + 12x = 16 + 56

Combine like terms: -56 + 56 = 0
0 + 12x = 16 + 56
12x = 16 + 56

Combine like terms: 16 + 56 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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