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Popular >

2(4x-3)>=-3(3x)+5x

Solution

2 (4 x - 3) \geq - 3 (3 x) + 5 x

Solution

x \geq \frac{1}{2}

+2

Interval Notation

[\frac{1}{2}, \infty)

Decimal Notation

x \geq 0.5

Solution steps

2 (4 x - 3) \geq - 3 (3 x) + 5 x

Remove parentheses:

(a) = a

2 (4 x - 3) \geq - 3 \cdot 3 x + 5 x

Multiply the numbers:

3 \cdot 3 = 9

2 (4 x - 3) \geq - 9 x + 5 x

Add similar elements:

- 9 x + 5 x = - 4 x

2 (4 x - 3) \geq - 4 x

Expand

2 (4 x - 3) : 8 x - 6

8 x - 6 \geq - 4 x

Move

6

to the right side

8 x \geq - 4 x + 6

Move

4 x

to the left side

12 x \geq 6

Divide both sides by

12

x \geq \frac{1}{2}

Popular Examples

3 x^{2} + 81 = 0

x^2-3/2 x+9/16 =0

x^{2} - \frac{3}{2} x + \frac{9}{16} = 0

factor 4-y^4 factor

4 - y^{4}

factor 12x^2+50x+48 factor

12 x^{2} + 50 x + 48

x + 13 \geq 5

Frequently Asked Questions (FAQ)

What is 2(4x-3)>=-3(3x)+5x ?
The solution to 2(4x-3)>=-3(3x)+5x is x>= 1/2