7x+6(2-x)+18=29+3(6+x)

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Solution for 7x+6(2-x)+18=29+3(6+x) equation: 


Simplifying
7x + 6(2 + -1x) + 18 = 29 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 18 = 29 + 3(6 + x)
7x + (12 + -6x) + 18 = 29 + 3(6 + x)

Reorder the terms:
12 + 18 + 7x + -6x = 29 + 3(6 + x)

Combine like terms: 12 + 18 = 30
30 + 7x + -6x = 29 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
30 + 1x = 29 + 3(6 + x)
30 + 1x = 29 + (6 * 3 + x * 3)
30 + 1x = 29 + (18 + 3x)

Combine like terms: 29 + 18 = 47
30 + 1x = 47 + 3x

Solving
30 + 1x = 47 + 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.
30 + 1x + -3x = 47 + 3x + -3x

Combine like terms: 1x + -3x = -2x
30 + -2x = 47 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -2x = 47 + 0
30 + -2x = 47

Add '-30' to each side of the equation.
30 + -30 + -2x = 47 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 47 + -30
-2x = 47 + -30

Combine like terms: 47 + -30 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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