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

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

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

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

x = - 1

Solution steps

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

Convert mixed numbers to improper fractions:

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

\frac{4 x - 3}{2} = - \frac{7}{2}

Multiply both sides by

2

4 x - 3 = - 7

Move

3

to the right side

4 x = - 4

Divide both sides by

4

x = - 1

3 (7 - 1) - 2 (x) = 1

x, 14 x + 4 y = 24

3 x = 4 x

x, y - 2 = \frac{1}{4} (x - 1)

\frac{x}{2} + \frac{x}{3} = 8