What is the answer to 9/4 =(7x+6)/2 ?

The answer to 9/4 =(7x+6)/2 is x=-3/14

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9/4 =(7x+6)/2

\frac{9}{4} = \frac{7 x + 6}{2}

x = - \frac{3}{14}

Decimal Notation

x = - 0.21428 \dots

Solution steps

\frac{9}{4} = \frac{7 x + 6}{2}

Switch sides

\frac{7 x + 6}{2} = \frac{9}{4}

Multiply both sides by

2

7 x + 6 = \frac{9}{2}

Move

6

to the right side

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

Divide both sides by

7

x = - \frac{3}{14}

x^{2} - 3 x - 18 < 0

- 3^{2} + x < 1

(x - 3) (2 x + 1) \geq 0

- 2 x + 4 + 4 x = x - 7

\frac{p + 20}{7} = - 4