-1/2 (4x+20)<-7(x+15/7) — step-by-step solution

⚠ 4x is read as the product 4*x: for a power, write 4^x‖7( is read as the product 7*(...): for a power, write 7^(...)‖-1/2 (4x+20)<-7(x+15/7) is read as -(1/2)*(4x+20)<-7(x+15/7): use parentheses around the denominator to include the following factor in it

Let's solve in

ℝ

- \frac{1}{2} \cdot (4 x + 20) < -7 \cdot (x + \frac{15}{7})

ℹ

- \frac{1}{2} \cdot (4 x + 20)

- \frac{4 x + 20}{2}

‖

- \frac{4 x + 20}{2}

- (2 x + 10)

- (2 x + 10) < - 7 \cdot (x + \frac{15}{7})

- 2 x - 10 < - 7 \cdot (x + \frac{15}{7})

- 2 x - 10 < - (7 x + 7 \cdot \frac{15}{7})

ℹ

- (7 x + \frac{105}{7})

- 7 x - \frac{105}{7}

‖

7 \cdot \frac{15}{7}

\frac{105}{7}

- 2 x - 10 < - 7 x - \frac{105}{7}

- 2 x - 10 < - 7 x - 15

- 2 x < - 7 x - 5

- 2 x + 7 x < -5

5 x < -5

x < - \frac{5}{5}

▶Solution obtained:

x < -1