2ax-6=x(a+3)

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Solution for 2ax-6=x(a+3) equation:


Simplifying
2ax + -6 = x(a + 3)

Reorder the terms:
-6 + 2ax = x(a + 3)

Reorder the terms:
-6 + 2ax = x(3 + a)
-6 + 2ax = (3 * x + a * x)

Reorder the terms:
-6 + 2ax = (ax + 3x)
-6 + 2ax = (ax + 3x)

Solving
-6 + 2ax = ax + 3x

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
-6 + 2ax + -1ax = ax + -1ax + 3x

Combine like terms: 2ax + -1ax = 1ax
-6 + 1ax = ax + -1ax + 3x

Combine like terms: ax + -1ax = 0
-6 + 1ax = 0 + 3x
-6 + 1ax = 3x

Add '6' to each side of the equation.
-6 + 6 + 1ax = 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 1ax = 6 + 3x
1ax = 6 + 3x

Divide each side by '1x'.
a = 6x-1 + 3

Simplifying
a = 6x-1 + 3

Reorder the terms:
a = 3 + 6x-1

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