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

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


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

Reorder the terms:
3(3 + 2x) = -5(x + 5)
(3 * 3 + 2x * 3) = -5(x + 5)
(9 + 6x) = -5(x + 5)

Reorder the terms:
9 + 6x = -5(5 + x)
9 + 6x = (5 * -5 + x * -5)
9 + 6x = (-25 + -5x)

Solving
9 + 6x = -25 + -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.
9 + 6x + 5x = -25 + -5x + 5x

Combine like terms: 6x + 5x = 11x
9 + 11x = -25 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 11x = -25 + 0
9 + 11x = -25

Add '-9' to each side of the equation.
9 + -9 + 11x = -25 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = -25 + -9
11x = -25 + -9

Combine like terms: -25 + -9 = -34
11x = -34

Divide each side by '11'.
x = -3.090909091

Simplifying
x = -3.090909091

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