(x+4)=2(x+5)+6

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Solution for (x+4)=2(x+5)+6 equation:


Simplifying
(x + 4) = 2(x + 5) + 6

Reorder the terms:
(4 + x) = 2(x + 5) + 6

Remove parenthesis around (4 + x)
4 + x = 2(x + 5) + 6

Reorder the terms:
4 + x = 2(5 + x) + 6
4 + x = (5 * 2 + x * 2) + 6
4 + x = (10 + 2x) + 6

Reorder the terms:
4 + x = 10 + 6 + 2x

Combine like terms: 10 + 6 = 16
4 + x = 16 + 2x

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

Combine like terms: x + -2x = -1x
4 + -1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -1x = 16 + 0
4 + -1x = 16

Add '-4' to each side of the equation.
4 + -4 + -1x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 16 + -4
-1x = 16 + -4

Combine like terms: 16 + -4 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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