5x+11=3(x-9)

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Solution for 5x+11=3(x-9) equation:


Simplifying
5x + 11 = 3(x + -9)

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

Reorder the terms:
11 + 5x = 3(-9 + x)
11 + 5x = (-9 * 3 + x * 3)
11 + 5x = (-27 + 3x)

Solving
11 + 5x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 5x + -3x = -27 + 3x + -3x

Combine like terms: 5x + -3x = 2x
11 + 2x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 2x = -27 + 0
11 + 2x = -27

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

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

Combine like terms: -27 + -11 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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