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

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


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

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

Reorder the terms:
-12 + 9x = 4(-3 + 5x)
-12 + 9x = (-3 * 4 + 5x * 4)
-12 + 9x = (-12 + 20x)

Add '12' to each side of the equation.
-12 + 12 + 9x = -12 + 12 + 20x

Combine like terms: -12 + 12 = 0
0 + 9x = -12 + 12 + 20x
9x = -12 + 12 + 20x

Combine like terms: -12 + 12 = 0
9x = 0 + 20x
9x = 20x

Solving
9x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
9x + -20x = 20x + -20x

Combine like terms: 9x + -20x = -11x
-11x = 20x + -20x

Combine like terms: 20x + -20x = 0
-11x = 0

Divide each side by '-11'.
x = 0

Simplifying
x = 0

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