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

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


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

Reorder the terms:
3(-3 + 4x) = 5(5 + -5x)
(-3 * 3 + 4x * 3) = 5(5 + -5x)
(-9 + 12x) = 5(5 + -5x)
-9 + 12x = (5 * 5 + -5x * 5)
-9 + 12x = (25 + -25x)

Solving
-9 + 12x = 25 + -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.
-9 + 12x + 25x = 25 + -25x + 25x

Combine like terms: 12x + 25x = 37x
-9 + 37x = 25 + -25x + 25x

Combine like terms: -25x + 25x = 0
-9 + 37x = 25 + 0
-9 + 37x = 25

Add '9' to each side of the equation.
-9 + 9 + 37x = 25 + 9

Combine like terms: -9 + 9 = 0
0 + 37x = 25 + 9
37x = 25 + 9

Combine like terms: 25 + 9 = 34
37x = 34

Divide each side by '37'.
x = 0.9189189189

Simplifying
x = 0.9189189189

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