2(x-(4x+11)+3)=2(x+8)

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Solution for 2(x-(4x+11)+3)=2(x+8) equation:


Simplifying
2(x + -1(4x + 11) + 3) = 2(x + 8)

Reorder the terms:
2(x + -1(11 + 4x) + 3) = 2(x + 8)
2(x + (11 * -1 + 4x * -1) + 3) = 2(x + 8)
2(x + (-11 + -4x) + 3) = 2(x + 8)

Reorder the terms:
2(-11 + 3 + x + -4x) = 2(x + 8)

Combine like terms: -11 + 3 = -8
2(-8 + x + -4x) = 2(x + 8)

Combine like terms: x + -4x = -3x
2(-8 + -3x) = 2(x + 8)
(-8 * 2 + -3x * 2) = 2(x + 8)
(-16 + -6x) = 2(x + 8)

Reorder the terms:
-16 + -6x = 2(8 + x)
-16 + -6x = (8 * 2 + x * 2)
-16 + -6x = (16 + 2x)

Solving
-16 + -6x = 16 + 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.
-16 + -6x + -2x = 16 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-16 + -8x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + -8x = 16 + 0
-16 + -8x = 16

Add '16' to each side of the equation.
-16 + 16 + -8x = 16 + 16

Combine like terms: -16 + 16 = 0
0 + -8x = 16 + 16
-8x = 16 + 16

Combine like terms: 16 + 16 = 32
-8x = 32

Divide each side by '-8'.
x = -4

Simplifying
x = -4

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