What is the answer to 7= 3/2 (x-6) ?

The answer to 7= 3/2 (x-6) is x= 32/3

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7= 3/2 (x-6)

7 = \frac{3}{2} (x - 6)

x = \frac{32}{3}

Decimal Notation

x = 10.66666 \dots

Solution steps

7 = \frac{3}{2} (x - 6)

Switch sides

\frac{3}{2} (x - 6) = 7

Multiply both sides by

2

3 (x - 6) = 14

Divide both sides by

3

x - 6 = \frac{14}{3}

Move

6

to the right side

x = \frac{32}{3}

3 x^{2} + 24 x + 9 = 0

10 x^{2} - 105 x + 135

2000 (x - 0.03) = 6000

w^{2} - 36

x^{\frac{1}{3}} \cdot x