2(x+4)-16=11-3(x-3)

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Solution for 2(x+4)-16=11-3(x-3) equation:


Simplifying
2(x + 4) + -16 = 11 + -3(x + -3)

Reorder the terms:
2(4 + x) + -16 = 11 + -3(x + -3)
(4 * 2 + x * 2) + -16 = 11 + -3(x + -3)
(8 + 2x) + -16 = 11 + -3(x + -3)

Reorder the terms:
8 + -16 + 2x = 11 + -3(x + -3)

Combine like terms: 8 + -16 = -8
-8 + 2x = 11 + -3(x + -3)

Reorder the terms:
-8 + 2x = 11 + -3(-3 + x)
-8 + 2x = 11 + (-3 * -3 + x * -3)
-8 + 2x = 11 + (9 + -3x)

Combine like terms: 11 + 9 = 20
-8 + 2x = 20 + -3x

Solving
-8 + 2x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = 20 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = 20 + 0
-8 + 5x = 20

Add '8' to each side of the equation.
-8 + 8 + 5x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 20 + 8
5x = 20 + 8

Combine like terms: 20 + 8 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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