5(13-x)=3(x-5)

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Solution for 5(13-x)=3(x-5) equation: 


Simplifying
5(13 + -1x) = 3(x + -5)
(13 * 5 + -1x * 5) = 3(x + -5)
(65 + -5x) = 3(x + -5)

Reorder the terms:
65 + -5x = 3(-5 + x)
65 + -5x = (-5 * 3 + x * 3)
65 + -5x = (-15 + 3x)

Solving
65 + -5x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
65 + -5x + -3x = -15 + 3x + -3x

Combine like terms: -5x + -3x = -8x
65 + -8x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
65 + -8x = -15 + 0
65 + -8x = -15

Add '-65' to each side of the equation.
65 + -65 + -8x = -15 + -65

Combine like terms: 65 + -65 = 0
0 + -8x = -15 + -65
-8x = -15 + -65

Combine like terms: -15 + -65 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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