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

The answer to x/3+4=x-3/2 is x= 33/4

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x/3+4=x-3/2

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

x = \frac{33}{4}

Solution steps

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

Move

4

to the right side

\frac{x}{3} = x - \frac{11}{2}

Multiply both sides by

3

x = 3 x - \frac{33}{2}

Move

3 x

to the left side

- 2 x = - \frac{33}{2}

Divide both sides by

- 2

x = \frac{33}{4}

\frac{5 x}{3} - x = \frac{x}{6} - \frac{5}{2}

15 = x + 7

3 - x \cdot x^{2} - 1

6 (b + 3) = 78

x^{2} - 10 x + 12 = 0