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

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


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

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

Remove parenthesis around (-3x)
2 + 2x = 3 * -3x

Multiply 3 * -3
2 + 2x = -9x

Solving
2 + 2x = -9x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 9x = 11x
2 + 11x = -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 11x = 0

Add '-2' to each side of the equation.
2 + -2 + 11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 0 + -2
11x = 0 + -2

Combine like terms: 0 + -2 = -2
11x = -2

Divide each side by '11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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