Solve 2x-6(-2)leq7x+3

$$2 x - 6 ( - 2 ) \leq 7 x + 3$$

Solve for x

$$x\geq \frac{9}{5}$$

Solution Steps

Multiply 6 and -2 to get -12.

$$2x-\left(-12\right)\leq 7x+3$$

The opposite of -12 is 12.

$$2x+12\leq 7x+3$$

Subtract 7x from both sides.

$$2x+12-7x\leq 3$$

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

$$-5x+12\leq 3$$

Subtract 12 from both sides.

$$-5x\leq 3-12$$

Subtract 12 from 3 to get -9.

$$-5x\leq -9$$

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

$$x\geq \frac{-9}{-5}$$

Fraction \frac{-9}{-5} can be simplified to \frac{9}{5} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{9}{5}$$