What is the answer to 3x+4(x-10)=x+20 ?

The answer to 3x+4(x-10)=x+20 is x=10

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3x+4(x-10)=x+20

3 x + 4 (x - 10) = x + 20

x = 10

Solution steps

3 x + 4 (x - 10) = x + 20

Expand

4 (x - 10) : 4 x - 40

3 x + 4 x - 40 = x + 20

Add similar elements:

3 x + 4 x = 7 x

7 x - 40 = x + 20

Move

40

to the right side

7 x = x + 60

Move

x

to the left side

6 x = 60

Divide both sides by

6

x = 10

- 3 x - [- 6 x - (3 - x)] = 9 + (x - 1)

\frac{3 x - 2}{4} = \frac{2 x + 1}{5}

24 x - 4 = 0

72 f - 12 g = 96

(x) = 7 x + 150