What is the answer to 3x-11+4x+2=-x+47 ?

The answer to 3x-11+4x+2=-x+47 is x=7

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3x-11+4x+2=-x+47

3 x - 11 + 4 x + 2 = - x + 47

x = 7

Solution steps

3 x - 11 + 4 x + 2 = - x + 47

Group like terms

3 x + 4 x - 11 + 2 = - x + 47

Add similar elements:

3 x + 4 x = 7 x

7 x - 11 + 2 = - x + 47

Add/Subtract the numbers:

- 11 + 2 = - 9

7 x - 9 = - x + 47

Move

9

to the right side

7 x = - x + 56

Move

x

to the left side

8 x = 56

Divide both sides by

8

x = 7

\frac{2 x - 1}{2} - \frac{x + 13}{24} = 3 x + \frac{5 ( x + 1 )}{8}

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

x = 3 x

x, \frac{x + 3 y}{2} = 5

x, 6 x + 9 y = 12