4(x-3)+3ax=5x-9

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Solution for 4(x-3)+3ax=5x-9 equation:


Simplifying
4(x + -3) + 3ax = 5x + -9

Reorder the terms:
4(-3 + x) + 3ax = 5x + -9
(-3 * 4 + x * 4) + 3ax = 5x + -9
(-12 + 4x) + 3ax = 5x + -9

Reorder the terms:
-12 + 3ax + 4x = 5x + -9

Reorder the terms:
-12 + 3ax + 4x = -9 + 5x

Solving
-12 + 3ax + 4x = -9 + 5x

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 3ax + 12 + 4x = -9 + 12 + 5x

Reorder the terms:
-12 + 12 + 3ax + 4x = -9 + 12 + 5x

Combine like terms: -12 + 12 = 0
0 + 3ax + 4x = -9 + 12 + 5x
3ax + 4x = -9 + 12 + 5x

Combine like terms: -9 + 12 = 3
3ax + 4x = 3 + 5x

Add '-4x' to each side of the equation.
3ax + 4x + -4x = 3 + 5x + -4x

Combine like terms: 4x + -4x = 0
3ax + 0 = 3 + 5x + -4x
3ax = 3 + 5x + -4x

Combine like terms: 5x + -4x = 1x
3ax = 3 + 1x

Divide each side by '3x'.
a = x-1 + 0.3333333333

Simplifying
a = x-1 + 0.3333333333

Reorder the terms:
a = 0.3333333333 + x-1

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