7(x+3)=-5x-27

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Solution for 7(x+3)=-5x-27 equation:


Simplifying
7(x + 3) = -5x + -27

Reorder the terms:
7(3 + x) = -5x + -27
(3 * 7 + x * 7) = -5x + -27
(21 + 7x) = -5x + -27

Reorder the terms:
21 + 7x = -27 + -5x

Solving
21 + 7x = -27 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
21 + 7x + 5x = -27 + -5x + 5x

Combine like terms: 7x + 5x = 12x
21 + 12x = -27 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + 12x = -27 + 0
21 + 12x = -27

Add '-21' to each side of the equation.
21 + -21 + 12x = -27 + -21

Combine like terms: 21 + -21 = 0
0 + 12x = -27 + -21
12x = -27 + -21

Combine like terms: -27 + -21 = -48
12x = -48

Divide each side by '12'.
x = -4

Simplifying
x = -4

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