3(9-2x)-5(11-x)=28

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Solution for 3(9-2x)-5(11-x)=28 equation:


Simplifying
3(9 + -2x) + -5(11 + -1x) = 28
(9 * 3 + -2x * 3) + -5(11 + -1x) = 28
(27 + -6x) + -5(11 + -1x) = 28
27 + -6x + (11 * -5 + -1x * -5) = 28
27 + -6x + (-55 + 5x) = 28

Reorder the terms:
27 + -55 + -6x + 5x = 28

Combine like terms: 27 + -55 = -28
-28 + -6x + 5x = 28

Combine like terms: -6x + 5x = -1x
-28 + -1x = 28

Solving
-28 + -1x = 28

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 28 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 28 + 28
-1x = 28 + 28

Combine like terms: 28 + 28 = 56
-1x = 56

Divide each side by '-1'.
x = -56

Simplifying
x = -56

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