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

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


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

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

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

Solving
-3 + -6x = -1 + 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.
-3 + -6x + -3x = -1 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-3 + -9x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -9x = -1 + 0
-3 + -9x = -1

Add '3' to each side of the equation.
-3 + 3 + -9x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -1 + 3
-9x = -1 + 3

Combine like terms: -1 + 3 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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