11(3-x)=10(3-2x)

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Solution for 11(3-x)=10(3-2x) equation:


Simplifying
11(3 + -1x) = 10(3 + -2x)
(3 * 11 + -1x * 11) = 10(3 + -2x)
(33 + -11x) = 10(3 + -2x)
33 + -11x = (3 * 10 + -2x * 10)
33 + -11x = (30 + -20x)

Solving
33 + -11x = 30 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
33 + -11x + 20x = 30 + -20x + 20x

Combine like terms: -11x + 20x = 9x
33 + 9x = 30 + -20x + 20x

Combine like terms: -20x + 20x = 0
33 + 9x = 30 + 0
33 + 9x = 30

Add '-33' to each side of the equation.
33 + -33 + 9x = 30 + -33

Combine like terms: 33 + -33 = 0
0 + 9x = 30 + -33
9x = 30 + -33

Combine like terms: 30 + -33 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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