9(3x-4)=5(5x-4)

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Solution for 9(3x-4)=5(5x-4) equation:


Simplifying
9(3x + -4) = 5(5x + -4)

Reorder the terms:
9(-4 + 3x) = 5(5x + -4)
(-4 * 9 + 3x * 9) = 5(5x + -4)
(-36 + 27x) = 5(5x + -4)

Reorder the terms:
-36 + 27x = 5(-4 + 5x)
-36 + 27x = (-4 * 5 + 5x * 5)
-36 + 27x = (-20 + 25x)

Solving
-36 + 27x = -20 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-36 + 27x + -25x = -20 + 25x + -25x

Combine like terms: 27x + -25x = 2x
-36 + 2x = -20 + 25x + -25x

Combine like terms: 25x + -25x = 0
-36 + 2x = -20 + 0
-36 + 2x = -20

Add '36' to each side of the equation.
-36 + 36 + 2x = -20 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = -20 + 36
2x = -20 + 36

Combine like terms: -20 + 36 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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