3ax+6-4(x+b)=11x+14

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Solution for 3ax+6-4(x+b)=11x+14 equation:


Simplifying
3ax + 6 + -4(x + b) = 11x + 14

Reorder the terms:
3ax + 6 + -4(b + x) = 11x + 14
3ax + 6 + (b * -4 + x * -4) = 11x + 14
3ax + 6 + (-4b + -4x) = 11x + 14

Reorder the terms:
6 + 3ax + -4b + -4x = 11x + 14

Reorder the terms:
6 + 3ax + -4b + -4x = 14 + 11x

Solving
6 + 3ax + -4b + -4x = 14 + 11x

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 3ax + -4b + -6 + -4x = 14 + -6 + 11x

Reorder the terms:
6 + -6 + 3ax + -4b + -4x = 14 + -6 + 11x

Combine like terms: 6 + -6 = 0
0 + 3ax + -4b + -4x = 14 + -6 + 11x
3ax + -4b + -4x = 14 + -6 + 11x

Combine like terms: 14 + -6 = 8
3ax + -4b + -4x = 8 + 11x

Add '4b' to each side of the equation.
3ax + -4b + 4b + -4x = 8 + 4b + 11x

Combine like terms: -4b + 4b = 0
3ax + 0 + -4x = 8 + 4b + 11x
3ax + -4x = 8 + 4b + 11x

Add '4x' to each side of the equation.
3ax + -4x + 4x = 8 + 4b + 11x + 4x

Combine like terms: -4x + 4x = 0
3ax + 0 = 8 + 4b + 11x + 4x
3ax = 8 + 4b + 11x + 4x

Combine like terms: 11x + 4x = 15x
3ax = 8 + 4b + 15x

Divide each side by '3x'.
a = 2.666666667x-1 + 1.333333333bx-1 + 5

Simplifying
a = 2.666666667x-1 + 1.333333333bx-1 + 5

Reorder the terms:
a = 5 + 1.333333333bx-1 + 2.666666667x-1

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