13(x-4)=9(x+4)

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Solution for 13(x-4)=9(x+4) equation:


Simplifying
13(x + -4) = 9(x + 4)

Reorder the terms:
13(-4 + x) = 9(x + 4)
(-4 * 13 + x * 13) = 9(x + 4)
(-52 + 13x) = 9(x + 4)

Reorder the terms:
-52 + 13x = 9(4 + x)
-52 + 13x = (4 * 9 + x * 9)
-52 + 13x = (36 + 9x)

Solving
-52 + 13x = 36 + 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.
-52 + 13x + -9x = 36 + 9x + -9x

Combine like terms: 13x + -9x = 4x
-52 + 4x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-52 + 4x = 36 + 0
-52 + 4x = 36

Add '52' to each side of the equation.
-52 + 52 + 4x = 36 + 52

Combine like terms: -52 + 52 = 0
0 + 4x = 36 + 52
4x = 36 + 52

Combine like terms: 36 + 52 = 88
4x = 88

Divide each side by '4'.
x = 22

Simplifying
x = 22

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