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

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


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

Reorder the terms:
2(5 + x) = -3(3x)
(5 * 2 + x * 2) = -3(3x)
(10 + 2x) = -3(3x)

Remove parenthesis around (3x)
10 + 2x = -3 * 3x

Multiply -3 * 3
10 + 2x = -9x

Solving
10 + 2x = -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
10 + 2x + 9x = -9x + 9x

Combine like terms: 2x + 9x = 11x
10 + 11x = -9x + 9x

Combine like terms: -9x + 9x = 0
10 + 11x = 0

Add '-10' to each side of the equation.
10 + -10 + 11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 0 + -10
11x = 0 + -10

Combine like terms: 0 + -10 = -10
11x = -10

Divide each side by '11'.
x = -0.9090909091

Simplifying
x = -0.9090909091

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