3(3x+1)=5x+11

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Solution for 3(3x+1)=5x+11 equation:


Simplifying
3(3x + 1) = 5x + 11

Reorder the terms:
3(1 + 3x) = 5x + 11
(1 * 3 + 3x * 3) = 5x + 11
(3 + 9x) = 5x + 11

Reorder the terms:
3 + 9x = 11 + 5x

Solving
3 + 9x = 11 + 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.
3 + 9x + -5x = 11 + 5x + -5x

Combine like terms: 9x + -5x = 4x
3 + 4x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 4x = 11 + 0
3 + 4x = 11

Add '-3' to each side of the equation.
3 + -3 + 4x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 11 + -3
4x = 11 + -3

Combine like terms: 11 + -3 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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