3(x+9)=-2(x-1)

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Solution for 3(x+9)=-2(x-1) equation:


Simplifying
3(x + 9) = -2(x + -1)

Reorder the terms:
3(9 + x) = -2(x + -1)
(9 * 3 + x * 3) = -2(x + -1)
(27 + 3x) = -2(x + -1)

Reorder the terms:
27 + 3x = -2(-1 + x)
27 + 3x = (-1 * -2 + x * -2)
27 + 3x = (2 + -2x)

Solving
27 + 3x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
27 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
27 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
27 + 5x = 2 + 0
27 + 5x = 2

Add '-27' to each side of the equation.
27 + -27 + 5x = 2 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 2 + -27
5x = 2 + -27

Combine like terms: 2 + -27 = -25
5x = -25

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

Simplifying
x = -5

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