Solve 8left(x+5right)/10-2/5geq1

$$\frac{ 8 \left( x+5 \right) }{ 10 } - \frac{ 2 }{ 5 } \geq 1$$

Solve for x

$$x\geq -\frac{13}{4}$$

Solution Steps

Multiply both sides of the equation by 10, the least common multiple of 10,5. Since 10 is positive, the inequality direction remains the same.

$$8\left(x+5\right)-4\geq 10$$

Use the distributive property to multiply 8 by x+5.

$$8x+40-4\geq 10$$

Subtract 4 from 40 to get 36.

$$8x+36\geq 10$$

Subtract 36 from both sides.

$$8x\geq 10-36$$

Subtract 36 from 10 to get -26.

$$8x\geq -26$$

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$x\geq \frac{-26}{8}$$

Reduce the fraction \frac{-26}{8} to lowest terms by extracting and canceling out 2.

$$x\geq -\frac{13}{4}$$