Solve -7x-10+5xgeq3(x+4)+8

$$- 7 x - 10 + 5 x \geq 3 ( x + 4 ) + 8$$

Solve for x

$$x\leq -6$$

Solution Steps

Combine -7x and 5x to get -2x.

$$-2x-10\geq 3\left(x+4\right)+8$$

Use the distributive property to multiply 3 by x+4.

$$-2x-10\geq 3x+12+8$$

Add 12 and 8 to get 20.

$$-2x-10\geq 3x+20$$

Subtract 3x from both sides.

$$-2x-10-3x\geq 20$$

Combine -2x and -3x to get -5x.

$$-5x-10\geq 20$$

Add 10 to both sides.

$$-5x\geq 20+10$$

Add 20 and 10 to get 30.

$$-5x\geq 30$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x\leq \frac{30}{-5}$$

Divide 30 by -5 to get -6.

$$x\leq -6$$