7x+6(2-x)+8=11+3(6+x)

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Solution for 7x+6(2-x)+8=11+3(6+x) equation: 


Simplifying
7x + 6(2 + -1x) + 8 = 11 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 8 = 11 + 3(6 + x)
7x + (12 + -6x) + 8 = 11 + 3(6 + x)

Reorder the terms:
12 + 8 + 7x + -6x = 11 + 3(6 + x)

Combine like terms: 12 + 8 = 20
20 + 7x + -6x = 11 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
20 + 1x = 11 + 3(6 + x)
20 + 1x = 11 + (6 * 3 + x * 3)
20 + 1x = 11 + (18 + 3x)

Combine like terms: 11 + 18 = 29
20 + 1x = 29 + 3x

Solving
20 + 1x = 29 + 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.
20 + 1x + -3x = 29 + 3x + -3x

Combine like terms: 1x + -3x = -2x
20 + -2x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -2x = 29 + 0
20 + -2x = 29

Add '-20' to each side of the equation.
20 + -20 + -2x = 29 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 29 + -20
-2x = 29 + -20

Combine like terms: 29 + -20 = 9
-2x = 9

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

Simplifying
x = -4.5

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