What is the answer to 1/2 (2x+5)+6(x-2)=4 1/2 ?

The answer to 1/2 (2x+5)+6(x-2)=4 1/2 is x=2

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1/2 (2x+5)+6(x-2)=4 1/2

\frac{1}{2} (2 x + 5) + 6 (x - 2) = 4 \frac{1}{2}

x = 2

Solution steps

\frac{1}{2} (2 x + 5) + 6 (x - 2) = 4 \frac{1}{2}

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

\frac{1}{2} (2 x + 5) + 6 (x - 2) = \frac{9}{2}

Multiply both sides by

2

2 x + 5 + 12 (x - 2) = 9

Expand

2 x + 5 + 12 (x - 2) : 14 x - 19

14 x - 19 = 9

Move

19

to the right side

14 x = 28

Divide both sides by

14

x = 2

4 - 2 (7 x - 7) - 9 x = 2 (- 2 x - 5) - 7

49 + 2 x - (4 x - 28) = 55

- 3 = - 19 + \frac{d}{5}

y, 5 x - 3 y = 4

y, 5 x - 3 y = 9

What is the answer to 1/2 (2x+5)+6(x-2)=4 1/2 ?
The answer to 1/2 (2x+5)+6(x-2)=4 1/2 is x=2
Solve for x: 1/2 (2x+5)+6(x-2)=4 1/2
The solution is x=2