9(x+3)=2x+11

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Solution for 9(x+3)=2x+11 equation:


Simplifying
9(x + 3) = 2x + 11

Reorder the terms:
9(3 + x) = 2x + 11
(3 * 9 + x * 9) = 2x + 11
(27 + 9x) = 2x + 11

Reorder the terms:
27 + 9x = 11 + 2x

Solving
27 + 9x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + 9x + -2x = 11 + 2x + -2x

Combine like terms: 9x + -2x = 7x
27 + 7x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + 7x = 11 + 0
27 + 7x = 11

Add '-27' to each side of the equation.
27 + -27 + 7x = 11 + -27

Combine like terms: 27 + -27 = 0
0 + 7x = 11 + -27
7x = 11 + -27

Combine like terms: 11 + -27 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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