13(4x-3)=9x-4

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Solution for 13(4x-3)=9x-4 equation:


Simplifying
13(4x + -3) = 9x + -4

Reorder the terms:
13(-3 + 4x) = 9x + -4
(-3 * 13 + 4x * 13) = 9x + -4
(-39 + 52x) = 9x + -4

Reorder the terms:
-39 + 52x = -4 + 9x

Solving
-39 + 52x = -4 + 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 + 52x + -9x = -4 + 9x + -9x

Combine like terms: 52x + -9x = 43x
-39 + 43x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-39 + 43x = -4 + 0
-39 + 43x = -4

Add '39' to each side of the equation.
-39 + 39 + 43x = -4 + 39

Combine like terms: -39 + 39 = 0
0 + 43x = -4 + 39
43x = -4 + 39

Combine like terms: -4 + 39 = 35
43x = 35

Divide each side by '43'.
x = 0.8139534884

Simplifying
x = 0.8139534884

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