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

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

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

\frac{1}{3} \cdot (2 x + \frac{3}{4}) = \frac{1}{4} x - 1

x = - 3

Solution steps

\frac{1}{3} (2 x + \frac{3}{4}) = \frac{1}{4} x - 1

Expand

\frac{1}{3} (2 x + \frac{3}{4}) : \frac{2}{3} x + \frac{1}{4}

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

Move

\frac{1}{4}

to the right side

\frac{2}{3} x = - \frac{5}{4} + \frac{1}{4} x

Move

\frac{1}{4} x

to the left side

\frac{5}{12} x = - \frac{5}{4}

Multiply both sides by

12

5 x = - 15

Divide both sides by

5

x = - 3

7 (x - 2) \leq 2 x + 3

7 x^{2} + 3 x + 3 = 0

- \frac{1}{7} (x + 4) (x - 2) (x - 7) < 0

2 x^{2} - 20 = 0

What is the answer to 1/3*(2x+3/4)= 1/4 x-1 ?
The answer to 1/3*(2x+3/4)= 1/4 x-1 is x=-3
Solve for x: 1/3*(2x+3/4)= 1/4 x-1
The solution is x=-3