Solve 5(2x-8)geq3(x+5)

$$5 ( 2 x - 8 ) \geq 3 ( x + 5 )$$

Solve for x

$$x\geq \frac{55}{7}$$

Solution Steps

Use the distributive property to multiply 5 by 2x-8.

$$10x-40\geq 3\left(x+5\right)$$

Use the distributive property to multiply 3 by x+5.

$$10x-40\geq 3x+15$$

Subtract 3x from both sides.

$$10x-40-3x\geq 15$$

Combine 10x and -3x to get 7x.

$$7x-40\geq 15$$

Add 40 to both sides.

$$7x\geq 15+40$$

Add 15 and 40 to get 55.

$$7x\geq 55$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$x\geq \frac{55}{7}$$