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

The answer to -1 1/2 =3x-4 1/2 is x=1

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-1 1/2 =3x-4 1/2

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

x = 1

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Convert mixed numbers to improper fractions:

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

- \frac{3}{2} = 3 x - \frac{9}{2}

Switch sides

3 x - \frac{9}{2} = - \frac{3}{2}

Move

\frac{9}{2}

to the right side

3 x = 3

Divide both sides by

3

x = 1

3 (3 x + 1) - 4 x = 2 (4 x - 3)

- 93 - 5 x - 10 x = 102

y, 2 y + 5 x = 10

\frac{10}{3} = x + 5

- \frac{1}{6} x = - 5