What is the answer to 7x+4(5-x)=24x-3(x-4) ?

The answer to 7x+4(5-x)=24x-3(x-4) is x= 4/9

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7x+4(5-x)=24x-3(x-4)

7 x + 4 (5 - x) = 24 x - 3 (x - 4)

x = \frac{4}{9}

Decimal Notation

x = 0.44444 \dots

Solution steps

7 x + 4 (5 - x) = 24 x - 3 (x - 4)

Expand

- 3 (x - 4) : - 3 x + 12

3 x + 20 = 24 x - 3 x + 12

Add similar elements:

24 x - 3 x = 21 x

3 x + 20 = 21 x + 12

Expand

7 x + 4 (5 - x) : 3 x + 20

3 x + 20 = 21 x + 12

Move

20

to the right side

3 x = 21 x - 8

Move

21 x

to the left side

- 18 x = - 8

Divide both sides by

- 18

x = \frac{4}{9}

9 w + 8 = - 1

\frac{x + 8}{5} = 3

\frac{5 x}{2} - 9 = \frac{2 x - 7}{6}

- 8 x - 3 = 13 - 9 x

2 x + 8 = 10 - x + 7

What is the answer to 7x+4(5-x)=24x-3(x-4) ?
The answer to 7x+4(5-x)=24x-3(x-4) is x= 4/9
Solve for x: 7x+4(5-x)=24x-3(x-4)
The solution is x= 4/9