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

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


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

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

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

Solving
-3 + -3x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + -3x + -6x = -2 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-3 + -9x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -9x = -2 + 0
-3 + -9x = -2

Add '3' to each side of the equation.
-3 + 3 + -9x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -2 + 3
-9x = -2 + 3

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

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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