7x+6(2-x)+11=22+3(6+x)

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Solution for 7x+6(2-x)+11=22+3(6+x) equation: 


Simplifying
7x + 6(2 + -1x) + 11 = 22 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 11 = 22 + 3(6 + x)
7x + (12 + -6x) + 11 = 22 + 3(6 + x)

Reorder the terms:
12 + 11 + 7x + -6x = 22 + 3(6 + x)

Combine like terms: 12 + 11 = 23
23 + 7x + -6x = 22 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
23 + 1x = 22 + 3(6 + x)
23 + 1x = 22 + (6 * 3 + x * 3)
23 + 1x = 22 + (18 + 3x)

Combine like terms: 22 + 18 = 40
23 + 1x = 40 + 3x

Solving
23 + 1x = 40 + 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.
23 + 1x + -3x = 40 + 3x + -3x

Combine like terms: 1x + -3x = -2x
23 + -2x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -2x = 40 + 0
23 + -2x = 40

Add '-23' to each side of the equation.
23 + -23 + -2x = 40 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = 40 + -23
-2x = 40 + -23

Combine like terms: 40 + -23 = 17
-2x = 17

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

Simplifying
x = -8.5

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