What is the answer to a(4x-10)=24x+5b ?

The answer to a(4x-10)=24x+5b is x=(5b+10a)/(4(-6+a));\quad a\ne 6

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a(4x-10)=24x+5b

a (4 x - 10) = 24 x + 5 b

x = \frac{5 b + 10 a}{4 ( - 6 + a )}; a \neq = 6

Solution steps

a (4 x - 10) = 24 x + 5 b

Expand

a (4 x - 10) : 4 a x - 10 a

4 a x - 10 a = 24 x + 5 b

Move

10 a

to the right side

4 a x = 24 x + 5 b + 10 a

Move

24 x

to the left side

4 a x - 24 x = 5 b + 10 a

Factor

4 a x - 24 x : 4 x (a - 6)

4 x (a - 6) = 5 b + 10 a

Divide both sides by

4 (a - 6); a \neq = 6

x = \frac{5 b + 10 a}{4 ( - 6 + a )}; a \neq = 6

x, \frac{x}{2} - \frac{y}{4} = 1

x, 7 x + 2 y = 31

- \frac{346250}{245542} = \frac{484160}{491085}

5 (2 x - 10) = \frac{x}{2} + 4

5 - 3 (x - 7) = 4 x - (2 x + 8)

What is the answer to a(4x-10)=24x+5b ?
The answer to a(4x-10)=24x+5b is x=(5b+10a)/(4(-6+a));\quad a\ne 6