13(4x)=52(13-x)

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Solution for 13(4x)=52(13-x) equation:


Simplifying
13(4x) = 52(13 + -1x)

Remove parenthesis around (4x)
13 * 4x = 52(13 + -1x)

Multiply 13 * 4
52x = 52(13 + -1x)
52x = (13 * 52 + -1x * 52)
52x = (676 + -52x)

Solving
52x = 676 + -52x

Solving for variable 'x'.

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

Add '52x' to each side of the equation.
52x + 52x = 676 + -52x + 52x

Combine like terms: 52x + 52x = 104x
104x = 676 + -52x + 52x

Combine like terms: -52x + 52x = 0
104x = 676 + 0
104x = 676

Divide each side by '104'.
x = 6.5

Simplifying
x = 6.5

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