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

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


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

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

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

Combine like terms: 3 + 1 = 4
4 + -1x = 3(x + 6)

Reorder the terms:
4 + -1x = 3(6 + x)
4 + -1x = (6 * 3 + x * 3)
4 + -1x = (18 + 3x)

Solving
4 + -1x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -1x + -3x = 18 + 3x + -3x

Combine like terms: -1x + -3x = -4x
4 + -4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -4x = 18 + 0
4 + -4x = 18

Add '-4' to each side of the equation.
4 + -4 + -4x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 18 + -4
-4x = 18 + -4

Combine like terms: 18 + -4 = 14
-4x = 14

Divide each side by '-4'.
x = -3.5

Simplifying
x = -3.5

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