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

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


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

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

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

Combine like terms: 11 + 14 = 25
6 + 3ax + -4b + -4x = 25

Solving
6 + 3ax + -4b + -4x = 25

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 = 25 + -6

Reorder the terms:
6 + -6 + 3ax + -4b + -4x = 25 + -6

Combine like terms: 6 + -6 = 0
0 + 3ax + -4b + -4x = 25 + -6
3ax + -4b + -4x = 25 + -6

Combine like terms: 25 + -6 = 19
3ax + -4b + -4x = 19

Add '4b' to each side of the equation.
3ax + -4b + 4b + -4x = 19 + 4b

Combine like terms: -4b + 4b = 0
3ax + 0 + -4x = 19 + 4b
3ax + -4x = 19 + 4b

Add '4x' to each side of the equation.
3ax + -4x + 4x = 19 + 4b + 4x

Combine like terms: -4x + 4x = 0
3ax + 0 = 19 + 4b + 4x
3ax = 19 + 4b + 4x

Divide each side by '3x'.
a = 6.333333333x-1 + 1.333333333bx-1 + 1.333333333

Simplifying
a = 6.333333333x-1 + 1.333333333bx-1 + 1.333333333

Reorder the terms:
a = 1.333333333 + 1.333333333bx-1 + 6.333333333x-1

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