3(2x+7)=-5(6+x)

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Solution for 3(2x+7)=-5(6+x) equation:


Simplifying
3(2x + 7) = -5(6 + x)

Reorder the terms:
3(7 + 2x) = -5(6 + x)
(7 * 3 + 2x * 3) = -5(6 + x)
(21 + 6x) = -5(6 + x)
21 + 6x = (6 * -5 + x * -5)
21 + 6x = (-30 + -5x)

Solving
21 + 6x = -30 + -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 + 6x + 5x = -30 + -5x + 5x

Combine like terms: 6x + 5x = 11x
21 + 11x = -30 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + 11x = -30 + 0
21 + 11x = -30

Add '-21' to each side of the equation.
21 + -21 + 11x = -30 + -21

Combine like terms: 21 + -21 = 0
0 + 11x = -30 + -21
11x = -30 + -21

Combine like terms: -30 + -21 = -51
11x = -51

Divide each side by '11'.
x = -4.636363636

Simplifying
x = -4.636363636

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