(x+2)+6=2x+(x+1)

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Solution for (x+2)+6=2x+(x+1) equation:


Simplifying
(x + 2) + 6 = 2x + (x + 1)

Reorder the terms:
(2 + x) + 6 = 2x + (x + 1)

Remove parenthesis around (2 + x)
2 + x + 6 = 2x + (x + 1)

Reorder the terms:
2 + 6 + x = 2x + (x + 1)

Combine like terms: 2 + 6 = 8
8 + x = 2x + (x + 1)

Reorder the terms:
8 + x = 2x + (1 + x)

Remove parenthesis around (1 + x)
8 + x = 2x + 1 + x

Reorder the terms:
8 + x = 1 + 2x + x

Combine like terms: 2x + x = 3x
8 + x = 1 + 3x

Solving
8 + x = 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.
8 + x + -3x = 1 + 3x + -3x

Combine like terms: x + -3x = -2x
8 + -2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -2x = 1 + 0
8 + -2x = 1

Add '-8' to each side of the equation.
8 + -8 + -2x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 1 + -8
-2x = 1 + -8

Combine like terms: 1 + -8 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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