Solve 7-14*(x-2)leq-49*x

$$7 - 14 \cdot ( x - 2 ) \leq - 49 \cdot x$$

Solve for x

$$x\leq -1$$

Solution Steps

Use the distributive property to multiply -14 by x-2.

$$7-14x+28\leq -49x$$

Add 7 and 28 to get 35.

$$35-14x\leq -49x$$

Add 49x to both sides.

$$35-14x+49x\leq 0$$

Combine -14x and 49x to get 35x.

$$35+35x\leq 0$$

Subtract 35 from both sides. Anything subtracted from zero gives its negation.

$$35x\leq -35$$

Divide both sides by 35. Since 35 is positive, the inequality direction remains the same.

$$x\leq \frac{-35}{35}$$

Divide -35 by 35 to get -1.

$$x\leq -1$$