-2(x+6)=-11x+4(x+4)

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Solution for -2(x+6)=-11x+4(x+4) equation:


Simplifying
-2(x + 6) = -11x + 4(x + 4)

Reorder the terms:
-2(6 + x) = -11x + 4(x + 4)
(6 * -2 + x * -2) = -11x + 4(x + 4)
(-12 + -2x) = -11x + 4(x + 4)

Reorder the terms:
-12 + -2x = -11x + 4(4 + x)
-12 + -2x = -11x + (4 * 4 + x * 4)
-12 + -2x = -11x + (16 + 4x)

Reorder the terms:
-12 + -2x = 16 + -11x + 4x

Combine like terms: -11x + 4x = -7x
-12 + -2x = 16 + -7x

Solving
-12 + -2x = 16 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + -2x + 7x = 16 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-12 + 5x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 5x = 16 + 0
-12 + 5x = 16

Add '12' to each side of the equation.
-12 + 12 + 5x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 16 + 12
5x = 16 + 12

Combine like terms: 16 + 12 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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