3x+11=2(3x+10)

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Solution for 3x+11=2(3x+10) equation:


Simplifying
3x + 11 = 2(3x + 10)

Reorder the terms:
11 + 3x = 2(3x + 10)

Reorder the terms:
11 + 3x = 2(10 + 3x)
11 + 3x = (10 * 2 + 3x * 2)
11 + 3x = (20 + 6x)

Solving
11 + 3x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 3x + -6x = 20 + 6x + -6x

Combine like terms: 3x + -6x = -3x
11 + -3x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -3x = 20 + 0
11 + -3x = 20

Add '-11' to each side of the equation.
11 + -11 + -3x = 20 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 20 + -11
-3x = 20 + -11

Combine like terms: 20 + -11 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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