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

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


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

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

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

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

Add '-2x' to each side of the equation.
-2a + -3ax + 2x + -2x = -7 + -2x

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