(3x+11)=(5x+6)

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Solution for (3x+11)=(5x+6) equation:


Simplifying
(3x + 11) = (5x + 6)

Reorder the terms:
(11 + 3x) = (5x + 6)

Remove parenthesis around (11 + 3x)
11 + 3x = (5x + 6)

Reorder the terms:
11 + 3x = (6 + 5x)

Remove parenthesis around (6 + 5x)
11 + 3x = 6 + 5x

Solving
11 + 3x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 3x + -5x = 6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
11 + -2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -2x = 6 + 0
11 + -2x = 6

Add '-11' to each side of the equation.
11 + -11 + -2x = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 6 + -11
-2x = 6 + -11

Combine like terms: 6 + -11 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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