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Popular >

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

Solution

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

Solution

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

Solution steps

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

Expand

a (x + a) : a x + a^{2}

a x + a^{2} - x = a (a + 1) + 1

Expand

a (a + 1) : a^{2} + a

a x + a^{2} - x = a^{2} + a + 1

Move

a^{2}

to the right side

a x - x = a + 1

Factor

a x - x : x (a - 1)

x (a - 1) = a + 1

Divide both sides by

a - 1; a \neq = 1

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

Popular Examples

13x-2(x+4)=8x+1

13 x - 2 (x + 4) = 8 x + 1

t = 42 - 0.7 t

-18f+20=-20-15f-20

- 18 f + 20 = - 20 - 15 f - 20

2 x - 7 = 11

solvefor x,6x+y=10 solve for

x, 6 x + y = 10

Frequently Asked Questions (FAQ)

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