Solve 5(x-1)leq4(2x+4)

$$5 ( x - 1 ) \leq 4 ( 2 x + 4 )$$

Solve for x

$$x\geq -7$$

Solution Steps

Use the distributive property to multiply 5 by x-1.

$$5x-5\leq 4\left(2x+4\right)$$

Use the distributive property to multiply 4 by 2x+4.

$$5x-5\leq 8x+16$$

Subtract 8x from both sides.

$$5x-5-8x\leq 16$$

Combine 5x and -8x to get -3x.

$$-3x-5\leq 16$$

Add 5 to both sides.

$$-3x\leq 16+5$$

Add 16 and 5 to get 21.

$$-3x\leq 21$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\geq \frac{21}{-3}$$

Divide 21 by -3 to get -7.

$$x\geq -7$$