81=2x+3(3x+5)

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Solution for 81=2x+3(3x+5) equation:


Simplifying
81 = 2x + 3(3x + 5)

Reorder the terms:
81 = 2x + 3(5 + 3x)
81 = 2x + (5 * 3 + 3x * 3)
81 = 2x + (15 + 9x)

Reorder the terms:
81 = 15 + 2x + 9x

Combine like terms: 2x + 9x = 11x
81 = 15 + 11x

Solving
81 = 15 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
81 + -11x = 15 + 11x + -11x

Combine like terms: 11x + -11x = 0
81 + -11x = 15 + 0
81 + -11x = 15

Add '-81' to each side of the equation.
81 + -81 + -11x = 15 + -81

Combine like terms: 81 + -81 = 0
0 + -11x = 15 + -81
-11x = 15 + -81

Combine like terms: 15 + -81 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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