7x+6(2-x)+12=15+3(6+x)

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Solution for 7x+6(2-x)+12=15+3(6+x) equation: 


Simplifying
7x + 6(2 + -1x) + 12 = 15 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 12 = 15 + 3(6 + x)
7x + (12 + -6x) + 12 = 15 + 3(6 + x)

Reorder the terms:
12 + 12 + 7x + -6x = 15 + 3(6 + x)

Combine like terms: 12 + 12 = 24
24 + 7x + -6x = 15 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
24 + 1x = 15 + 3(6 + x)
24 + 1x = 15 + (6 * 3 + x * 3)
24 + 1x = 15 + (18 + 3x)

Combine like terms: 15 + 18 = 33
24 + 1x = 33 + 3x

Solving
24 + 1x = 33 + 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.
24 + 1x + -3x = 33 + 3x + -3x

Combine like terms: 1x + -3x = -2x
24 + -2x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -2x = 33 + 0
24 + -2x = 33

Add '-24' to each side of the equation.
24 + -24 + -2x = 33 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 33 + -24
-2x = 33 + -24

Combine like terms: 33 + -24 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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