2x+11=3(2x-5)

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Solution for 2x+11=3(2x-5) equation:


Simplifying
2x + 11 = 3(2x + -5)

Reorder the terms:
11 + 2x = 3(2x + -5)

Reorder the terms:
11 + 2x = 3(-5 + 2x)
11 + 2x = (-5 * 3 + 2x * 3)
11 + 2x = (-15 + 6x)

Solving
11 + 2x = -15 + 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 + 2x + -6x = -15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
11 + -4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -4x = -15 + 0
11 + -4x = -15

Add '-11' to each side of the equation.
11 + -11 + -4x = -15 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -15 + -11
-4x = -15 + -11

Combine like terms: -15 + -11 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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