-2[x+6]+3=-11x+4[x+4]

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Solution for -2[x+6]+3=-11x+4[x+4] equation:


Simplifying
-2[x + 6] + 3 = -11x + 4[x + 4]

Reorder the terms:
-2[6 + x] + 3 = -11x + 4[x + 4]
[6 * -2 + x * -2] + 3 = -11x + 4[x + 4]
[-12 + -2x] + 3 = -11x + 4[x + 4]

Reorder the terms:
-12 + 3 + -2x = -11x + 4[x + 4]

Combine like terms: -12 + 3 = -9
-9 + -2x = -11x + 4[x + 4]

Reorder the terms:
-9 + -2x = -11x + 4[4 + x]
-9 + -2x = -11x + [4 * 4 + x * 4]
-9 + -2x = -11x + [16 + 4x]

Reorder the terms:
-9 + -2x = 16 + -11x + 4x

Combine like terms: -11x + 4x = -7x
-9 + -2x = 16 + -7x

Solving
-9 + -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.
-9 + -2x + 7x = 16 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-9 + 5x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 5x = 16 + 0
-9 + 5x = 16

Add '9' to each side of the equation.
-9 + 9 + 5x = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 16 + 9
5x = 16 + 9

Combine like terms: 16 + 9 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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