6(3x-8)-2=6(x+4)+58

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Solution for 6(3x-8)-2=6(x+4)+58 equation:


Simplifying
6(3x + -8) + -2 = 6(x + 4) + 58

Reorder the terms:
6(-8 + 3x) + -2 = 6(x + 4) + 58
(-8 * 6 + 3x * 6) + -2 = 6(x + 4) + 58
(-48 + 18x) + -2 = 6(x + 4) + 58

Reorder the terms:
-48 + -2 + 18x = 6(x + 4) + 58

Combine like terms: -48 + -2 = -50
-50 + 18x = 6(x + 4) + 58

Reorder the terms:
-50 + 18x = 6(4 + x) + 58
-50 + 18x = (4 * 6 + x * 6) + 58
-50 + 18x = (24 + 6x) + 58

Reorder the terms:
-50 + 18x = 24 + 58 + 6x

Combine like terms: 24 + 58 = 82
-50 + 18x = 82 + 6x

Solving
-50 + 18x = 82 + 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.
-50 + 18x + -6x = 82 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-50 + 12x = 82 + 6x + -6x

Combine like terms: 6x + -6x = 0
-50 + 12x = 82 + 0
-50 + 12x = 82

Add '50' to each side of the equation.
-50 + 50 + 12x = 82 + 50

Combine like terms: -50 + 50 = 0
0 + 12x = 82 + 50
12x = 82 + 50

Combine like terms: 82 + 50 = 132
12x = 132

Divide each side by '12'.
x = 11

Simplifying
x = 11

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