What is the answer to x-(bx)/c =a ?

The answer to x-(bx)/c =a is x=(ac)/(c-b);\quad c\ne 0,b\ne c

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x-(bx)/c =a

x - \frac{b x}{c} = a

x = \frac{a c}{c - b}; c \neq = 0, b \neq = c

Solution steps

x - \frac{b x}{c} = a

Multiply both sides by

c

x c - b x = a c; c \neq = 0

Factor

x c - b x : x (c - b)

x (c - b) = a c; c \neq = 0

Divide both sides by

c - b; c \neq = 0, b \neq = c

x = \frac{a c}{c - b}; c \neq = 0, b \neq = c

\frac{x}{4} - \frac{x}{2} = - 3

7 x + 2 [3 (2 x - 1) - 4 x] = 5 x + 6

2 p - 5 = p - 7

x, (x - 1) 2 + (y + 1) 2 = 37

x, 5 x - y = 11

What is the answer to x-(bx)/c =a ?
The answer to x-(bx)/c =a is x=(ac)/(c-b);\quad c\ne 0,b\ne c