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

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


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

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

Reorder the terms:
18 + 3x = 2(11 + 2x)
18 + 3x = (11 * 2 + 2x * 2)
18 + 3x = (22 + 4x)

Solving
18 + 3x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 3x + -4x = 22 + 4x + -4x

Combine like terms: 3x + -4x = -1x
18 + -1x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -1x = 22 + 0
18 + -1x = 22

Add '-18' to each side of the equation.
18 + -18 + -1x = 22 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 22 + -18
-1x = 22 + -18

Combine like terms: 22 + -18 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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