x+11=3(4x-5)

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Solution for x+11=3(4x-5) equation:


Simplifying
x + 11 = 3(4x + -5)

Reorder the terms:
11 + x = 3(4x + -5)

Reorder the terms:
11 + x = 3(-5 + 4x)
11 + x = (-5 * 3 + 4x * 3)
11 + x = (-15 + 12x)

Solving
11 + x = -15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
11 + x + -12x = -15 + 12x + -12x

Combine like terms: x + -12x = -11x
11 + -11x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -11x = -15 + 0
11 + -11x = -15

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

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

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

Divide each side by '-11'.
x = 2.363636364

Simplifying
x = 2.363636364

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