11(x+3)=2x-5

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Solution for 11(x+3)=2x-5 equation:


Simplifying
11(x + 3) = 2x + -5

Reorder the terms:
11(3 + x) = 2x + -5
(3 * 11 + x * 11) = 2x + -5
(33 + 11x) = 2x + -5

Reorder the terms:
33 + 11x = -5 + 2x

Solving
33 + 11x = -5 + 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.
33 + 11x + -2x = -5 + 2x + -2x

Combine like terms: 11x + -2x = 9x
33 + 9x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
33 + 9x = -5 + 0
33 + 9x = -5

Add '-33' to each side of the equation.
33 + -33 + 9x = -5 + -33

Combine like terms: 33 + -33 = 0
0 + 9x = -5 + -33
9x = -5 + -33

Combine like terms: -5 + -33 = -38
9x = -38

Divide each side by '9'.
x = -4.222222222

Simplifying
x = -4.222222222

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