Solve 4(2x+1)-10xleq4x-74

$$4 ( 2 x + 1 ) - 10 x \leq 4 x - 74$$

Solve for x

$$x\geq 13$$

Solution Steps

Use the distributive property to multiply 4 by 2x+1.

$$8x+4-10x\leq 4x-74$$

Combine 8x and -10x to get -2x.

$$-2x+4\leq 4x-74$$

Subtract 4x from both sides.

$$-2x+4-4x\leq -74$$

Combine -2x and -4x to get -6x.

$$-6x+4\leq -74$$

Subtract 4 from both sides.

$$-6x\leq -74-4$$

Subtract 4 from -74 to get -78.

$$-6x\leq -78$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$x\geq \frac{-78}{-6}$$

Divide -78 by -6 to get 13.

$$x\geq 13$$