What is the answer to 2(x-3 1/2)=10 3/4 ?

The answer to 2(x-3 1/2)=10 3/4 is x=8 7/8

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2(x-3 1/2)=10 3/4

2 (x - 3 \frac{1}{2}) = 10 \frac{3}{4}

x = 8 \frac{7}{8}

Solution steps

2 (x - 3 \frac{1}{2}) = 10 \frac{3}{4}

Convert mixed numbers to improper fractions:

10 \frac{3}{4} = \frac{43}{4}

2 (x - 3 \frac{1}{2}) = \frac{43}{4}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

2 (x - \frac{7}{2}) = \frac{43}{4}

Divide both sides by

2

x - \frac{7}{2} = \frac{43}{8}

Move

\frac{7}{2}

to the right side

x = \frac{71}{8}

Convert improper fractions to mixed numbers:

\frac{71}{8} = 8 \frac{7}{8}

x = 8 \frac{7}{8}

5 x - 15 = 2 x + 6

4 (2 x + 3) - 5 x + 6 = 24

x (x + 1) = (x - 4) (x + 3)

- 4 y = 6

- 4 y = 8

What is the answer to 2(x-3 1/2)=10 3/4 ?
The answer to 2(x-3 1/2)=10 3/4 is x=8 7/8
Solve for x: 2(x-3 1/2)=10 3/4
The solution is x=8 7/8