3(x+7)=-2(x-9)

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Solution for 3(x+7)=-2(x-9) equation:


Simplifying
3(x + 7) = -2(x + -9)

Reorder the terms:
3(7 + x) = -2(x + -9)
(7 * 3 + x * 3) = -2(x + -9)
(21 + 3x) = -2(x + -9)

Reorder the terms:
21 + 3x = -2(-9 + x)
21 + 3x = (-9 * -2 + x * -2)
21 + 3x = (18 + -2x)

Solving
21 + 3x = 18 + -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.
21 + 3x + 2x = 18 + -2x + 2x

Combine like terms: 3x + 2x = 5x
21 + 5x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 5x = 18 + 0
21 + 5x = 18

Add '-21' to each side of the equation.
21 + -21 + 5x = 18 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 18 + -21
5x = 18 + -21

Combine like terms: 18 + -21 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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