Solve 6(x-5)-2(4x+2)geq80

$$6 ( x - 5 ) - 2 ( 4 x + 2 ) \geq 80$$

Solve for x

$$x\leq -57$$

Solution Steps

Use the distributive property to multiply 6 by x-5.

$$6x-30-2\left(4x+2\right)\geq 80$$

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

$$6x-30-8x-4\geq 80$$

Combine 6x and -8x to get -2x.

$$-2x-30-4\geq 80$$

Subtract 4 from -30 to get -34.

$$-2x-34\geq 80$$

Add 34 to both sides.

$$-2x\geq 80+34$$

Add 80 and 34 to get 114.

$$-2x\geq 114$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x\leq \frac{114}{-2}$$

Divide 114 by -2 to get -57.

$$x\leq -57$$