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

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


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

Reorder the terms:
6(-8 + 2x) + -3 = 6(x + -3) + 3
(-8 * 6 + 2x * 6) + -3 = 6(x + -3) + 3
(-48 + 12x) + -3 = 6(x + -3) + 3

Reorder the terms:
-48 + -3 + 12x = 6(x + -3) + 3

Combine like terms: -48 + -3 = -51
-51 + 12x = 6(x + -3) + 3

Reorder the terms:
-51 + 12x = 6(-3 + x) + 3
-51 + 12x = (-3 * 6 + x * 6) + 3
-51 + 12x = (-18 + 6x) + 3

Reorder the terms:
-51 + 12x = -18 + 3 + 6x

Combine like terms: -18 + 3 = -15
-51 + 12x = -15 + 6x

Solving
-51 + 12x = -15 + 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.
-51 + 12x + -6x = -15 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-51 + 6x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-51 + 6x = -15 + 0
-51 + 6x = -15

Add '51' to each side of the equation.
-51 + 51 + 6x = -15 + 51

Combine like terms: -51 + 51 = 0
0 + 6x = -15 + 51
6x = -15 + 51

Combine like terms: -15 + 51 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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