2x+a(3x+b)=ax+ab

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Solution for 2x+a(3x+b)=ax+ab equation:


Simplifying
2x + a(3x + b) = ax + ab

Reorder the terms:
2x + a(b + 3x) = ax + ab
2x + (b * a + 3x * a) = ax + ab
2x + (ab + 3ax) = ax + ab

Reorder the terms:
ab + 3ax + 2x = ax + ab

Reorder the terms:
ab + 3ax + 2x = ab + ax

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

Reorder the terms:
ab + -1ab + 3ax + 2x = ab + -1ab + ax

Combine like terms: ab + -1ab = 0
0 + 3ax + 2x = ab + -1ab + ax
3ax + 2x = ab + -1ab + ax

Combine like terms: ab + -1ab = 0
3ax + 2x = 0 + ax
3ax + 2x = ax

Solving
3ax + 2x = ax

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.
3ax + -1ax + 2x = ax + -1ax

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

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

Add '-2x' to each side of the equation.
2ax + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
2ax + 0 = 0 + -2x
2ax = 0 + -2x
Remove the zero:
2ax = -2x

Divide each side by '2x'.
a = -1

Simplifying
a = -1

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