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

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


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

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

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

Remove parenthesis around (2 + 2x)
2 + 2x + 8 = 3(x + 4) + -11

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

Combine like terms: 2 + 8 = 10
10 + 2x = 3(x + 4) + -11

Reorder the terms:
10 + 2x = 3(4 + x) + -11
10 + 2x = (4 * 3 + x * 3) + -11
10 + 2x = (12 + 3x) + -11

Reorder the terms:
10 + 2x = 12 + -11 + 3x

Combine like terms: 12 + -11 = 1
10 + 2x = 1 + 3x

Solving
10 + 2x = 1 + 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.
10 + 2x + -3x = 1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 1 + 0
10 + -1x = 1

Add '-10' to each side of the equation.
10 + -10 + -1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 1 + -10
-1x = 1 + -10

Combine like terms: 1 + -10 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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