2x=5(x-3)-11

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


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

Reorder the terms:
2x = 5(-3 + x) + -11
2x = (-3 * 5 + x * 5) + -11
2x = (-15 + 5x) + -11

Reorder the terms:
2x = -15 + -11 + 5x

Combine like terms: -15 + -11 = -26
2x = -26 + 5x

Solving
2x = -26 + 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.
2x + -5x = -26 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x = -26 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3x = -26 + 0
-3x = -26

Divide each side by '-3'.
x = 8.666666667

Simplifying
x = 8.666666667

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