What is the answer to 14+5x-2=4x-15-2x ?

The answer to 14+5x-2=4x-15-2x is x=-9

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14+5x-2=4x-15-2x

14 + 5 x - 2 = 4 x - 15 - 2 x

x = - 9

Solution steps

14 + 5 x - 2 = 4 x - 15 - 2 x

Group like terms

5 x + 14 - 2 = 4 x - 15 - 2 x

Add/Subtract the numbers:

14 - 2 = 12

5 x + 12 = 4 x - 15 - 2 x

Group like terms

5 x + 12 = 4 x - 2 x - 15

Add similar elements:

4 x - 2 x = 2 x

5 x + 12 = 2 x - 15

Move

12

to the right side

5 x = 2 x - 27

Move

2 x

to the left side

3 x = - 27

Divide both sides by

3

x = - 9

2 x - \frac{3 x - 1}{8} = \frac{2}{3} (\frac{x + 2}{4})

x + 27 = \frac{180 - x}{2}

9 x = 2 - 7 x

\frac{1}{6} - \frac{1}{3} = - \frac{1}{6}

3 lo g_{3} (6) = x