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Popular >

x-a=b(x-c)

Solution

x - a = b (x - c)

Solution

x = \frac{- b c + a}{1 - b}; b \neq = 1

Solution steps

x - a = b (x - c)

Expand

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

x - a = b x - b c

Move

a

to the right side

x = b x - b c + a

Move

b x

to the left side

x - b x = - b c + a

Factor

x - b x : x (1 - b)

x (1 - b) = - b c + a

Divide both sides by

1 - b; b \neq = 1

x = \frac{- b c + a}{1 - b}; b \neq = 1

Popular Examples

-2(u+4)+6u=4(u-3)

- 2 (u + 4) + 6 u = 4 (u - 3)

(x+10)(x-2)=(x+2)^2

(x + 10) (x - 2) = (x + 2)^{2}

10(w-4)=4(w+4)+4w

10 (w - 4) = 4 (w + 4) + 4 w

4x+2(x-1)+4=-4x-4x

4 x + 2 (x - 1) + 4 = - 4 x - 4 x

solvefor k,-6(1)+k(4)+22=0 solve for

k, - 6 (1) + k (4) + 22 = 0

Frequently Asked Questions (FAQ)

What is the answer to x-a=b(x-c) ?
The answer to x-a=b(x-c) is x=(-bc+a)/(1-b);\quad b\ne 1