3(x+6)=11x-2

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


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

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

Reorder the terms:
18 + 3x = -2 + 11x

Solving
18 + 3x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
18 + 3x + -11x = -2 + 11x + -11x

Combine like terms: 3x + -11x = -8x
18 + -8x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
18 + -8x = -2 + 0
18 + -8x = -2

Add '-18' to each side of the equation.
18 + -18 + -8x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -2 + -18
-8x = -2 + -18

Combine like terms: -2 + -18 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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