3(ax-4)=2(x-a)-5

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Solution for 3(ax-4)=2(x-a)-5 equation:


Simplifying
3(ax + -4) = 2(x + -1a) + -5

Reorder the terms:
3(-4 + ax) = 2(x + -1a) + -5
(-4 * 3 + ax * 3) = 2(x + -1a) + -5
(-12 + 3ax) = 2(x + -1a) + -5

Reorder the terms:
-12 + 3ax = 2(-1a + x) + -5
-12 + 3ax = (-1a * 2 + x * 2) + -5
-12 + 3ax = (-2a + 2x) + -5

Reorder the terms:
-12 + 3ax = -5 + -2a + 2x

Solving
-12 + 3ax = -5 + -2a + 2x

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-12 + 2a + 3ax = -5 + -2a + 2a + 2x

Combine like terms: -2a + 2a = 0
-12 + 2a + 3ax = -5 + 0 + 2x
-12 + 2a + 3ax = -5 + 2x

Add '12' to each side of the equation.
-12 + 2a + 12 + 3ax = -5 + 12 + 2x

Reorder the terms:
-12 + 12 + 2a + 3ax = -5 + 12 + 2x

Combine like terms: -12 + 12 = 0
0 + 2a + 3ax = -5 + 12 + 2x
2a + 3ax = -5 + 12 + 2x

Combine like terms: -5 + 12 = 7
2a + 3ax = 7 + 2x

Reorder the terms:
-7 + 2a + 3ax + -2x = 7 + 2x + -7 + -2x

Reorder the terms:
-7 + 2a + 3ax + -2x = 7 + -7 + 2x + -2x

Combine like terms: 7 + -7 = 0
-7 + 2a + 3ax + -2x = 0 + 2x + -2x
-7 + 2a + 3ax + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 2a + 3ax + -2x = 0

The solution to this equation could not be determined.

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