2(x+1)=3(x+2)+6

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Solution for 2(x+1)=3(x+2)+6 equation: 


Simplifying
2(x + 1) = 3(x + 2) + 6

Reorder the terms:
2(1 + x) = 3(x + 2) + 6
(1 * 2 + x * 2) = 3(x + 2) + 6
(2 + 2x) = 3(x + 2) + 6

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

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

Combine like terms: 6 + 6 = 12
2 + 2x = 12 + 3x

Solving
2 + 2x = 12 + 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.
2 + 2x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -1x = 12 + 0
2 + -1x = 12

Add '-2' to each side of the equation.
2 + -2 + -1x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 12 + -2
-1x = 12 + -2

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

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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