ax-5=b(2x+1)

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Solution for ax-5=b(2x+1) equation:


Simplifying
ax + -5 = b(2x + 1)

Reorder the terms:
-5 + ax = b(2x + 1)

Reorder the terms:
-5 + ax = b(1 + 2x)
-5 + ax = (1 * b + 2x * b)
-5 + ax = (1b + 2bx)

Solving
-5 + ax = 1b + 2bx

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + ax = 1b + 5 + 2bx

Combine like terms: -5 + 5 = 0
0 + ax = 1b + 5 + 2bx
ax = 1b + 5 + 2bx

Reorder the terms:
ax = 5 + 1b + 2bx

Divide each side by 'x'.
a = 5x-1 + bx-1 + 2b

Simplifying
a = 5x-1 + bx-1 + 2b

Reorder the terms:
a = 2b + bx-1 + 5x-1

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