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

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


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

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

Reorder the terms:
3x = 12 + 5x + -4x

Combine like terms: 5x + -4x = 1x
3x = 12 + 1x

Solving
3x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3x + -1x = 12 + 1x + -1x

Combine like terms: 3x + -1x = 2x
2x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
2x = 12 + 0
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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