5(2-x)=13(3-x)

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Solution for 5(2-x)=13(3-x) equation:


Simplifying
5(2 + -1x) = 13(3 + -1x)
(2 * 5 + -1x * 5) = 13(3 + -1x)
(10 + -5x) = 13(3 + -1x)
10 + -5x = (3 * 13 + -1x * 13)
10 + -5x = (39 + -13x)

Solving
10 + -5x = 39 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10 + -5x + 13x = 39 + -13x + 13x

Combine like terms: -5x + 13x = 8x
10 + 8x = 39 + -13x + 13x

Combine like terms: -13x + 13x = 0
10 + 8x = 39 + 0
10 + 8x = 39

Add '-10' to each side of the equation.
10 + -10 + 8x = 39 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 39 + -10
8x = 39 + -10

Combine like terms: 39 + -10 = 29
8x = 29

Divide each side by '8'.
x = 3.625

Simplifying
x = 3.625

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