11-1(x+2)=-2(3-x)

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Solution for 11-1(x+2)=-2(3-x) equation:


Simplifying
11 + -1(x + 2) = -2(3 + -1x)

Reorder the terms:
11 + -1(2 + x) = -2(3 + -1x)
11 + (2 * -1 + x * -1) = -2(3 + -1x)
11 + (-2 + -1x) = -2(3 + -1x)

Combine like terms: 11 + -2 = 9
9 + -1x = -2(3 + -1x)
9 + -1x = (3 * -2 + -1x * -2)
9 + -1x = (-6 + 2x)

Solving
9 + -1x = -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.
9 + -1x + -2x = -6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
9 + -3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -3x = -6 + 0
9 + -3x = -6

Add '-9' to each side of the equation.
9 + -9 + -3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -6 + -9
-3x = -6 + -9

Combine like terms: -6 + -9 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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