What is the answer to (x+5)/7+x/2 =4 ?

The answer to (x+5)/7+x/2 =4 is x= 46/9

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(x+5)/7+x/2 =4

\frac{x + 5}{7} + \frac{x}{2} = 4

x = \frac{46}{9}

Decimal Notation

x = 5.11111 \dots

Solution steps

\frac{x + 5}{7} + \frac{x}{2} = 4

Multiply by LCM

2 (x + 5) + 7 x = 56

Expand

2 (x + 5) + 7 x : 9 x + 10

9 x + 10 = 56

Move

10

to the right side

9 x = 46

Divide both sides by

9

x = \frac{46}{9}

1 - \frac{2 x - 3}{4} = \frac{2 - 5 x}{3} - 3 x

a + 7 - 5 a = 35

\frac{x + 5}{3} = \frac{x - 2}{- 4}

2.3 y - 4.2 = - 18

\frac{2 x + 7}{10} + \frac{2 x + 5}{6} = x + 9