What is the answer to 2x+3(x-5)=4x+9 ?

The answer to 2x+3(x-5)=4x+9 is x=24

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2x+3(x-5)=4x+9

2 x + 3 (x - 5) = 4 x + 9

x = 24

Solution steps

2 x + 3 (x - 5) = 4 x + 9

Expand

3 (x - 5) : 3 x - 15

2 x + 3 x - 15 = 4 x + 9

Add similar elements:

2 x + 3 x = 5 x

5 x - 15 = 4 x + 9

Move

15

to the right side

5 x = 4 x + 24

Move

4 x

to the left side

x = 24

\frac{1}{4} (x + 2) = \frac{1}{6} (3 x - 2)

4 \cdot (x - 2) - 6 \cdot (1 - 2 x) = - 30

x + x + 1 + x + 2 = 60

\frac{x}{2} + 3 - \frac{x}{12} = \frac{x}{6} - \frac{1}{4}

x = \frac{1.3}{5} - 2 x