What is the answer to a(x-1)+b(2x+3)=5x-8 ?

The answer to a(x-1)+b(2x+3)=5x-8 is x=(-8+a-3b)/(a+2b-5);\quad a\ne-2b+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

a(x-1)+b(2x+3)=5x-8

a (x - 1) + b (2 x + 3) = 5 x - 8

x = \frac{- 8 + a - 3 b}{a + 2 b - 5}; a \neq = - 2 b + 5

Solution steps

a (x - 1) + b (2 x + 3) = 5 x - 8

Expand

a (x - 1) : a x - a

a x - a + b (2 x + 3) = 5 x - 8

Expand

b (2 x + 3) : 2 b x + 3 b

a x - a + 2 b x + 3 b = 5 x - 8

Move

a

to the right side

a x + 2 b x + 3 b = 5 x - 8 + a

Move

3 b

to the right side

a x + 2 b x = 5 x - 8 + a - 3 b

Move

5 x

to the left side

a x + 2 b x - 5 x = - 8 + a - 3 b

Factor

a x + 2 b x - 5 x : x (a + 2 b - 5)

x (a + 2 b - 5) = - 8 + a - 3 b

Divide both sides by

a + 2 b - 5; a \neq = - 2 b + 5

x = \frac{- 8 + a - 3 b}{a + 2 b - 5}; a \neq = - 2 b + 5

x, x 3 + y 3 + z 3 + 6 x yz = 1

- 10 x + 9 x = - 12

x, 5 x - 6 y = - 30

\frac{1}{6} = 6^{- 1}

(3 x + 2) 2 = 12 x + 40

What is the answer to a(x-1)+b(2x+3)=5x-8 ?
The answer to a(x-1)+b(2x+3)=5x-8 is x=(-8+a-3b)/(a+2b-5);\quad a\ne-2b+5