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Popular >

4x-3(2x+1)<= 4(x-3)

Solution

4 x - 3 (2 x + 1) \leq 4 (x - 3)

Solution

x \geq \frac{3}{2}

+2

Interval Notation

[\frac{3}{2}, \infty)

Decimal Notation

x \geq 1.5

Solution steps

4 x - 3 (2 x + 1) \leq 4 (x - 3)

Expand

- 3 (2 x + 1) : - 6 x - 3

4 x - 6 x - 3 \leq 4 (x - 3)

Add similar elements:

4 x - 6 x = - 2 x

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

Expand

4 (x - 3) : 4 x - 12

- 2 x - 3 \leq 4 x - 12

Move

3

to the right side

- 2 x \leq 4 x - 9

Move

4 x

to the left side

- 6 x \leq - 9

Multiply both sides by

- 1

6 x \geq 9

Divide both sides by

6

x \geq \frac{3}{2}

Popular Examples

x^{2} - 6 x + 14 = 0

simplify 6-5 simplify

6 - 5

3 (- 2) + 4

simplify (6!)/((6-1)!1!)simplify

\frac{6 !}{( 6 - 1 ) ! 1 !}

3 x - 7 = 20

Frequently Asked Questions (FAQ)

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