3x-a(x-2)=5(x-3)

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Solution for 3x-a(x-2)=5(x-3) equation:


Simplifying
3x + -1a(x + -2) = 5(x + -3)

Reorder the terms:
3x + -1a(-2 + x) = 5(x + -3)
3x + (-2 * -1a + x * -1a) = 5(x + -3)
3x + (2a + -1ax) = 5(x + -3)

Reorder the terms:
2a + -1ax + 3x = 5(x + -3)

Reorder the terms:
2a + -1ax + 3x = 5(-3 + x)
2a + -1ax + 3x = (-3 * 5 + x * 5)
2a + -1ax + 3x = (-15 + 5x)

Solving
2a + -1ax + 3x = -15 + 5x

Solving for variable 'a'.

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

Add '-3x' to each side of the equation.
2a + -1ax + 3x + -3x = -15 + 5x + -3x

Combine like terms: 3x + -3x = 0
2a + -1ax + 0 = -15 + 5x + -3x
2a + -1ax = -15 + 5x + -3x

Combine like terms: 5x + -3x = 2x
2a + -1ax = -15 + 2x

Reorder the terms:
15 + 2a + -1ax + -2x = -15 + 2x + 15 + -2x

Reorder the terms:
15 + 2a + -1ax + -2x = -15 + 15 + 2x + -2x

Combine like terms: -15 + 15 = 0
15 + 2a + -1ax + -2x = 0 + 2x + -2x
15 + 2a + -1ax + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 2a + -1ax + -2x = 0

The solution to this equation could not be determined.

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