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

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


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

Reorder the terms:
3(9 + x) + -1(x + -3) = 1
(9 * 3 + x * 3) + -1(x + -3) = 1
(27 + 3x) + -1(x + -3) = 1

Reorder the terms:
27 + 3x + -1(-3 + x) = 1
27 + 3x + (-3 * -1 + x * -1) = 1
27 + 3x + (3 + -1x) = 1

Reorder the terms:
27 + 3 + 3x + -1x = 1

Combine like terms: 27 + 3 = 30
30 + 3x + -1x = 1

Combine like terms: 3x + -1x = 2x
30 + 2x = 1

Solving
30 + 2x = 1

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 2x = 1 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 1 + -30
2x = 1 + -30

Combine like terms: 1 + -30 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5

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