ax+8=b(3x+2)

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Solution for ax+8=b(3x+2) equation:


Simplifying
ax + 8 = b(3x + 2)

Reorder the terms:
8 + ax = b(3x + 2)

Reorder the terms:
8 + ax = b(2 + 3x)
8 + ax = (2 * b + 3x * b)
8 + ax = (2b + 3bx)

Solving
8 + ax = 2b + 3bx

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + ax = 2b + -8 + 3bx

Combine like terms: 8 + -8 = 0
0 + ax = 2b + -8 + 3bx
ax = 2b + -8 + 3bx

Reorder the terms:
ax = -8 + 2b + 3bx

Divide each side by 'x'.
a = -8x-1 + 2bx-1 + 3b

Simplifying
a = -8x-1 + 2bx-1 + 3b

Reorder the terms:
a = 3b + 2bx-1 + -8x-1

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