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

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


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

Reorder the terms:
2(5 + x) = 2 + -3(2 + 3x)
(5 * 2 + x * 2) = 2 + -3(2 + 3x)
(10 + 2x) = 2 + -3(2 + 3x)
10 + 2x = 2 + (2 * -3 + 3x * -3)
10 + 2x = 2 + (-6 + -9x)

Combine like terms: 2 + -6 = -4
10 + 2x = -4 + -9x

Solving
10 + 2x = -4 + -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 = -4 + -9x + 9x

Combine like terms: 2x + 9x = 11x
10 + 11x = -4 + -9x + 9x

Combine like terms: -9x + 9x = 0
10 + 11x = -4 + 0
10 + 11x = -4

Add '-10' to each side of the equation.
10 + -10 + 11x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = -4 + -10
11x = -4 + -10

Combine like terms: -4 + -10 = -14
11x = -14

Divide each side by '11'.
x = -1.272727273

Simplifying
x = -1.272727273

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