2(x+6)=5+(12-3x)

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Solution for 2(x+6)=5+(12-3x) equation:


Simplifying
2(x + 6) = 5 + (12 + -3x)

Reorder the terms:
2(6 + x) = 5 + (12 + -3x)
(6 * 2 + x * 2) = 5 + (12 + -3x)
(12 + 2x) = 5 + (12 + -3x)

Remove parenthesis around (12 + -3x)
12 + 2x = 5 + 12 + -3x

Combine like terms: 5 + 12 = 17
12 + 2x = 17 + -3x

Solving
12 + 2x = 17 + -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.
12 + 2x + 3x = 17 + -3x + 3x

Combine like terms: 2x + 3x = 5x
12 + 5x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 5x = 17 + 0
12 + 5x = 17

Add '-12' to each side of the equation.
12 + -12 + 5x = 17 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 17 + -12
5x = 17 + -12

Combine like terms: 17 + -12 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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