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

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


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

Reorder the terms:
2(6 + x) = 5(x + 2) + 5
(6 * 2 + x * 2) = 5(x + 2) + 5
(12 + 2x) = 5(x + 2) + 5

Reorder the terms:
12 + 2x = 5(2 + x) + 5
12 + 2x = (2 * 5 + x * 5) + 5
12 + 2x = (10 + 5x) + 5

Reorder the terms:
12 + 2x = 10 + 5 + 5x

Combine like terms: 10 + 5 = 15
12 + 2x = 15 + 5x

Solving
12 + 2x = 15 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
12 + 2x + -5x = 15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = 15 + 0
12 + -3x = 15

Add '-12' to each side of the equation.
12 + -12 + -3x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 15 + -12
-3x = 15 + -12

Combine like terms: 15 + -12 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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