What is the answer to 2x+3(x-1)=3x+11 ?

The answer to 2x+3(x-1)=3x+11 is x=7

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2x+3(x-1)=3x+11

2 x + 3 (x - 1) = 3 x + 11

x = 7

Solution steps

2 x + 3 (x - 1) = 3 x + 11

Expand

3 (x - 1) : 3 x - 3

2 x + 3 x - 3 = 3 x + 11

Add similar elements:

2 x + 3 x = 5 x

5 x - 3 = 3 x + 11

Move

3

to the right side

5 x = 3 x + 14

Move

3 x

to the left side

2 x = 14

Divide both sides by

2

x = 7

3 (2 x - 1) - 2 (3 x + 4) = 11 x

6 r - 8 (r + 4) = - 40 - 3 r

x - 10 = - 3

- 7 x + 3 = - 46

a (x + a) = a^{2} + 3 a