(x-3)-2(3x+1)=0

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Solution for (x-3)-2(3x+1)=0 equation:


Simplifying
(x + -3) + -2(3x + 1) = 0

Reorder the terms:
(-3 + x) + -2(3x + 1) = 0

Remove parenthesis around (-3 + x)
-3 + x + -2(3x + 1) = 0

Reorder the terms:
-3 + x + -2(1 + 3x) = 0
-3 + x + (1 * -2 + 3x * -2) = 0
-3 + x + (-2 + -6x) = 0

Reorder the terms:
-3 + -2 + x + -6x = 0

Combine like terms: -3 + -2 = -5
-5 + x + -6x = 0

Combine like terms: x + -6x = -5x
-5 + -5x = 0

Solving
-5 + -5x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -5x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 0 + 5
-5x = 0 + 5

Combine like terms: 0 + 5 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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