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

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


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

Reorder the terms:
12 + -6x + 3(3 + 2x) = 2x + 5
12 + -6x + (3 * 3 + 2x * 3) = 2x + 5
12 + -6x + (9 + 6x) = 2x + 5

Reorder the terms:
12 + 9 + -6x + 6x = 2x + 5

Combine like terms: 12 + 9 = 21
21 + -6x + 6x = 2x + 5

Combine like terms: -6x + 6x = 0
21 + 0 = 2x + 5
21 = 2x + 5

Reorder the terms:
21 = 5 + 2x

Solving
21 = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + -2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -2x = 5 + 0
21 + -2x = 5

Add '-21' to each side of the equation.
21 + -21 + -2x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 5 + -21
-2x = 5 + -21

Combine like terms: 5 + -21 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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