2(x+5)=(3x+6)+2

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Solution for 2(x+5)=(3x+6)+2 equation: 


Simplifying
2(x + 5) = (3x + 6) + 2

Reorder the terms:
2(5 + x) = (3x + 6) + 2
(5 * 2 + x * 2) = (3x + 6) + 2
(10 + 2x) = (3x + 6) + 2

Reorder the terms:
10 + 2x = (6 + 3x) + 2

Remove parenthesis around (6 + 3x)
10 + 2x = 6 + 3x + 2

Reorder the terms:
10 + 2x = 6 + 2 + 3x

Combine like terms: 6 + 2 = 8
10 + 2x = 8 + 3x

Solving
10 + 2x = 8 + 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 = 8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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