2(x+7)+8=3(x+6)+9

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Solution for 2(x+7)+8=3(x+6)+9 equation: 


Simplifying
2(x + 7) + 8 = 3(x + 6) + 9

Reorder the terms:
2(7 + x) + 8 = 3(x + 6) + 9
(7 * 2 + x * 2) + 8 = 3(x + 6) + 9
(14 + 2x) + 8 = 3(x + 6) + 9

Reorder the terms:
14 + 8 + 2x = 3(x + 6) + 9

Combine like terms: 14 + 8 = 22
22 + 2x = 3(x + 6) + 9

Reorder the terms:
22 + 2x = 3(6 + x) + 9
22 + 2x = (6 * 3 + x * 3) + 9
22 + 2x = (18 + 3x) + 9

Reorder the terms:
22 + 2x = 18 + 9 + 3x

Combine like terms: 18 + 9 = 27
22 + 2x = 27 + 3x

Solving
22 + 2x = 27 + 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.
22 + 2x + -3x = 27 + 3x + -3x

Combine like terms: 2x + -3x = -1x
22 + -1x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -1x = 27 + 0
22 + -1x = 27

Add '-22' to each side of the equation.
22 + -22 + -1x = 27 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 27 + -22
-1x = 27 + -22

Combine like terms: 27 + -22 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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