2(x+5)+3x=3(-2x-1)

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Solution for 2(x+5)+3x=3(-2x-1) equation:


Simplifying
2(x + 5) + 3x = 3(-2x + -1)

Reorder the terms:
2(5 + x) + 3x = 3(-2x + -1)
(5 * 2 + x * 2) + 3x = 3(-2x + -1)
(10 + 2x) + 3x = 3(-2x + -1)

Combine like terms: 2x + 3x = 5x
10 + 5x = 3(-2x + -1)

Reorder the terms:
10 + 5x = 3(-1 + -2x)
10 + 5x = (-1 * 3 + -2x * 3)
10 + 5x = (-3 + -6x)

Solving
10 + 5x = -3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + 5x + 6x = -3 + -6x + 6x

Combine like terms: 5x + 6x = 11x
10 + 11x = -3 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 11x = -3 + 0
10 + 11x = -3

Add '-10' to each side of the equation.
10 + -10 + 11x = -3 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = -3 + -10
11x = -3 + -10

Combine like terms: -3 + -10 = -13
11x = -13

Divide each side by '11'.
x = -1.181818182

Simplifying
x = -1.181818182

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