6(3x-8)-3=6(x-4)+57

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Solution for 6(3x-8)-3=6(x-4)+57 equation:


Simplifying
6(3x + -8) + -3 = 6(x + -4) + 57

Reorder the terms:
6(-8 + 3x) + -3 = 6(x + -4) + 57
(-8 * 6 + 3x * 6) + -3 = 6(x + -4) + 57
(-48 + 18x) + -3 = 6(x + -4) + 57

Reorder the terms:
-48 + -3 + 18x = 6(x + -4) + 57

Combine like terms: -48 + -3 = -51
-51 + 18x = 6(x + -4) + 57

Reorder the terms:
-51 + 18x = 6(-4 + x) + 57
-51 + 18x = (-4 * 6 + x * 6) + 57
-51 + 18x = (-24 + 6x) + 57

Reorder the terms:
-51 + 18x = -24 + 57 + 6x

Combine like terms: -24 + 57 = 33
-51 + 18x = 33 + 6x

Solving
-51 + 18x = 33 + 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 + 18x + -6x = 33 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-51 + 12x = 33 + 6x + -6x

Combine like terms: 6x + -6x = 0
-51 + 12x = 33 + 0
-51 + 12x = 33

Add '51' to each side of the equation.
-51 + 51 + 12x = 33 + 51

Combine like terms: -51 + 51 = 0
0 + 12x = 33 + 51
12x = 33 + 51

Combine like terms: 33 + 51 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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