11+5(2-x)=-2(x+3)

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Solution for 11+5(2-x)=-2(x+3) equation:


Simplifying
11 + 5(2 + -1x) = -2(x + 3)
11 + (2 * 5 + -1x * 5) = -2(x + 3)
11 + (10 + -5x) = -2(x + 3)

Combine like terms: 11 + 10 = 21
21 + -5x = -2(x + 3)

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

Solving
21 + -5x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + -5x + 2x = -6 + -2x + 2x

Combine like terms: -5x + 2x = -3x
21 + -3x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + -3x = -6 + 0
21 + -3x = -6

Add '-21' to each side of the equation.
21 + -21 + -3x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -6 + -21
-3x = -6 + -21

Combine like terms: -6 + -21 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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