3(2x+6)=11-x

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


Simplifying
3(2x + 6) = 11 + -1x

Reorder the terms:
3(6 + 2x) = 11 + -1x
(6 * 3 + 2x * 3) = 11 + -1x
(18 + 6x) = 11 + -1x

Solving
18 + 6x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + 6x + x = 11 + -1x + x

Combine like terms: 6x + x = 7x
18 + 7x = 11 + -1x + x

Combine like terms: -1x + x = 0
18 + 7x = 11 + 0
18 + 7x = 11

Add '-18' to each side of the equation.
18 + -18 + 7x = 11 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 11 + -18
7x = 11 + -18

Combine like terms: 11 + -18 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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