Question

Solve for x if ab ≠ 2c

Answer 1

$x = \frac{ac + b}{2c - ab}$

Refer to the attachment for step by step explaination.

Answer 2

Answer:

$x=\frac{b+ax}{2c-ba}$

Step-by-step explanation:

When given the following expression, one is asked to solve for (x):

$\frac{2x-a}{b}=\frac{ax+1}{c}$

Use cross products to rid the variable in the denominator,

$c(2x-a)=b(ax+1)$

Simplify, distribute, multiply every term in the parenthesis by the term outside of it,

$2xc-ac=bax+b$

Inverse operations, collect all terms with variable (x) on one side of the equation:

$2xc-ac = bax + b\\\\2xc - bax = b + ac$

Factor, remove a like term that exists in both of these expressions,

$x(2c-ba)=b+ax$

Inverse operations,

$x=\frac{b+ax}{2c-ba}$