86-(6x+3)=6(x+3)+3

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Solution for 86-(6x+3)=6(x+3)+3 equation:


Simplifying
86 + -1(6x + 3) = 6(x + 3) + 3

Reorder the terms:
86 + -1(3 + 6x) = 6(x + 3) + 3
86 + (3 * -1 + 6x * -1) = 6(x + 3) + 3
86 + (-3 + -6x) = 6(x + 3) + 3

Combine like terms: 86 + -3 = 83
83 + -6x = 6(x + 3) + 3

Reorder the terms:
83 + -6x = 6(3 + x) + 3
83 + -6x = (3 * 6 + x * 6) + 3
83 + -6x = (18 + 6x) + 3

Reorder the terms:
83 + -6x = 18 + 3 + 6x

Combine like terms: 18 + 3 = 21
83 + -6x = 21 + 6x

Solving
83 + -6x = 21 + 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.
83 + -6x + -6x = 21 + 6x + -6x

Combine like terms: -6x + -6x = -12x
83 + -12x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
83 + -12x = 21 + 0
83 + -12x = 21

Add '-83' to each side of the equation.
83 + -83 + -12x = 21 + -83

Combine like terms: 83 + -83 = 0
0 + -12x = 21 + -83
-12x = 21 + -83

Combine like terms: 21 + -83 = -62
-12x = -62

Divide each side by '-12'.
x = 5.166666667

Simplifying
x = 5.166666667

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