11(x+2)=-4(3-3x)

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Solution for 11(x+2)=-4(3-3x) equation:


Simplifying
11(x + 2) = -4(3 + -3x)

Reorder the terms:
11(2 + x) = -4(3 + -3x)
(2 * 11 + x * 11) = -4(3 + -3x)
(22 + 11x) = -4(3 + -3x)
22 + 11x = (3 * -4 + -3x * -4)
22 + 11x = (-12 + 12x)

Solving
22 + 11x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22 + 11x + -12x = -12 + 12x + -12x

Combine like terms: 11x + -12x = -1x
22 + -1x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -1x = -12 + 0
22 + -1x = -12

Add '-22' to each side of the equation.
22 + -22 + -1x = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = -12 + -22
-1x = -12 + -22

Combine like terms: -12 + -22 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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