2[x-(2x+16)+11]=2(x+5)

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Solution for 2[x-(2x+16)+11]=2(x+5) equation:


Simplifying
2[x + -1(2x + 16) + 11] = 2(x + 5)

Reorder the terms:
2[x + -1(16 + 2x) + 11] = 2(x + 5)
2[x + (16 * -1 + 2x * -1) + 11] = 2(x + 5)
2[x + (-16 + -2x) + 11] = 2(x + 5)

Reorder the terms:
2[-16 + 11 + x + -2x] = 2(x + 5)

Combine like terms: -16 + 11 = -5
2[-5 + x + -2x] = 2(x + 5)

Combine like terms: x + -2x = -1x
2[-5 + -1x] = 2(x + 5)
[-5 * 2 + -1x * 2] = 2(x + 5)
[-10 + -2x] = 2(x + 5)

Reorder the terms:
-10 + -2x = 2(5 + x)
-10 + -2x = (5 * 2 + x * 2)
-10 + -2x = (10 + 2x)

Solving
-10 + -2x = 10 + 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.
-10 + -2x + -2x = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-10 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -4x = 10 + 0
-10 + -4x = 10

Add '10' to each side of the equation.
-10 + 10 + -4x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 10 + 10
-4x = 10 + 10

Combine like terms: 10 + 10 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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