6(3x-9)-2=6(x-2)+58

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Solution for 6(3x-9)-2=6(x-2)+58 equation:


Simplifying
6(3x + -9) + -2 = 6(x + -2) + 58

Reorder the terms:
6(-9 + 3x) + -2 = 6(x + -2) + 58
(-9 * 6 + 3x * 6) + -2 = 6(x + -2) + 58
(-54 + 18x) + -2 = 6(x + -2) + 58

Reorder the terms:
-54 + -2 + 18x = 6(x + -2) + 58

Combine like terms: -54 + -2 = -56
-56 + 18x = 6(x + -2) + 58

Reorder the terms:
-56 + 18x = 6(-2 + x) + 58
-56 + 18x = (-2 * 6 + x * 6) + 58
-56 + 18x = (-12 + 6x) + 58

Reorder the terms:
-56 + 18x = -12 + 58 + 6x

Combine like terms: -12 + 58 = 46
-56 + 18x = 46 + 6x

Solving
-56 + 18x = 46 + 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 = 46 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-56 + 12x = 46 + 6x + -6x

Combine like terms: 6x + -6x = 0
-56 + 12x = 46 + 0
-56 + 12x = 46

Add '56' to each side of the equation.
-56 + 56 + 12x = 46 + 56

Combine like terms: -56 + 56 = 0
0 + 12x = 46 + 56
12x = 46 + 56

Combine like terms: 46 + 56 = 102
12x = 102

Divide each side by '12'.
x = 8.5

Simplifying
x = 8.5

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