What is the answer to x+7-3x=14-5x+3 ?

The answer to x+7-3x=14-5x+3 is x= 10/3

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x+7-3x=14-5x+3

x + 7 - 3 x = 14 - 5 x + 3

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

x + 7 - 3 x = 14 - 5 x + 3

Group like terms

x - 3 x + 7 = 14 - 5 x + 3

Add similar elements:

x - 3 x = - 2 x

- 2 x + 7 = 14 - 5 x + 3

Group like terms

- 2 x + 7 = - 5 x + 14 + 3

Add the numbers:

14 + 3 = 17

- 2 x + 7 = - 5 x + 17

Move

7

to the right side

- 2 x = - 5 x + 10

Move

5 x

to the left side

3 x = 10

Divide both sides by

3

x = \frac{10}{3}

\frac{x}{4} - \frac{x + 10}{2} = 3

6 + 2 x = 138

2 x + 7 = \frac{( 10 x + 4 )}{2}

x - 6 + 8 x + 24 = 180

(3 - 5.8 x) - (2.2 x + 3) = 16