3+6(x+3)=1-9(x-5)

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Solution for 3+6(x+3)=1-9(x-5) equation: 


Simplifying
3 + 6(x + 3) = 1 + -9(x + -5)

Reorder the terms:
3 + 6(3 + x) = 1 + -9(x + -5)
3 + (3 * 6 + x * 6) = 1 + -9(x + -5)
3 + (18 + 6x) = 1 + -9(x + -5)

Combine like terms: 3 + 18 = 21
21 + 6x = 1 + -9(x + -5)

Reorder the terms:
21 + 6x = 1 + -9(-5 + x)
21 + 6x = 1 + (-5 * -9 + x * -9)
21 + 6x = 1 + (45 + -9x)

Combine like terms: 1 + 45 = 46
21 + 6x = 46 + -9x

Solving
21 + 6x = 46 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
21 + 6x + 9x = 46 + -9x + 9x

Combine like terms: 6x + 9x = 15x
21 + 15x = 46 + -9x + 9x

Combine like terms: -9x + 9x = 0
21 + 15x = 46 + 0
21 + 15x = 46

Add '-21' to each side of the equation.
21 + -21 + 15x = 46 + -21

Combine like terms: 21 + -21 = 0
0 + 15x = 46 + -21
15x = 46 + -21

Combine like terms: 46 + -21 = 25
15x = 25

Divide each side by '15'.
x = 1.666666667

Simplifying
x = 1.666666667

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