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Popular >

x-(7x-3)<7-4x-5

Solution

x - (7 x - 3) < 7 - 4 x - 5

Solution

x > \frac{1}{2}

+2

Interval Notation

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

Decimal Notation

x > 0.5

Solution steps

x - (7 x - 3) < 7 - 4 x - 5

Group like terms

x - (7 x - 3) < - 4 x + 7 - 5

Add/Subtract the numbers:

7 - 5 = 2

x - (7 x - 3) < - 4 x + 2

Expand

x - (7 x - 3) : - 6 x + 3

- 6 x + 3 < - 4 x + 2

Move

3

to the right side

- 6 x < - 4 x - 1

Move

4 x

to the left side

- 2 x < - 1

Multiply both sides by

- 1

2 x > 1

Divide both sides by

2

x > \frac{1}{2}

Popular Examples

factor 12a^2-4bc+16ac-3ab factor

12 a^{2} - 4 b c + 16 a c - 3 ab

4(3+y)-y=6+3(y+2)

4 (3 + y) - y = 6 + 3 (y + 2)

simplify 6-0 simplify

6 - 0

(r - 3) (r + 6) = 0

3 + 5 ∣ 8 - 2 x ∣ = 63

Frequently Asked Questions (FAQ)

What is x-(7x-3)<7-4x-5 ?
The solution to x-(7x-3)<7-4x-5 is x> 1/2