5(13-x)=9(9-x)

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Solution for 5(13-x)=9(9-x) equation:


Simplifying
5(13 + -1x) = 9(9 + -1x)
(13 * 5 + -1x * 5) = 9(9 + -1x)
(65 + -5x) = 9(9 + -1x)
65 + -5x = (9 * 9 + -1x * 9)
65 + -5x = (81 + -9x)

Solving
65 + -5x = 81 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
65 + -5x + 9x = 81 + -9x + 9x

Combine like terms: -5x + 9x = 4x
65 + 4x = 81 + -9x + 9x

Combine like terms: -9x + 9x = 0
65 + 4x = 81 + 0
65 + 4x = 81

Add '-65' to each side of the equation.
65 + -65 + 4x = 81 + -65

Combine like terms: 65 + -65 = 0
0 + 4x = 81 + -65
4x = 81 + -65

Combine like terms: 81 + -65 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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