13(5x-3)=9x-6

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Solution for 13(5x-3)=9x-6 equation:


Simplifying
13(5x + -3) = 9x + -6

Reorder the terms:
13(-3 + 5x) = 9x + -6
(-3 * 13 + 5x * 13) = 9x + -6
(-39 + 65x) = 9x + -6

Reorder the terms:
-39 + 65x = -6 + 9x

Solving
-39 + 65x = -6 + 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.
-39 + 65x + -9x = -6 + 9x + -9x

Combine like terms: 65x + -9x = 56x
-39 + 56x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-39 + 56x = -6 + 0
-39 + 56x = -6

Add '39' to each side of the equation.
-39 + 39 + 56x = -6 + 39

Combine like terms: -39 + 39 = 0
0 + 56x = -6 + 39
56x = -6 + 39

Combine like terms: -6 + 39 = 33
56x = 33

Divide each side by '56'.
x = 0.5892857143

Simplifying
x = 0.5892857143

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