Solve (4x-3)-(2x+7)geq5-x

$$( 4 x - 3 ) - ( 2 x + 7 ) \geq 5 - x$$

Solve for x

$$x\geq 5$$

Solution Steps

To find the opposite of 2x+7, find the opposite of each term.

$$4x-3-2x-7\geq 5-x$$

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

$$2x-3-7\geq 5-x$$

Subtract 7 from -3 to get -10.

$$2x-10\geq 5-x$$

Add x to both sides.

$$2x-10+x\geq 5$$

Combine 2x and x to get 3x.

$$3x-10\geq 5$$

Add 10 to both sides.

$$3x\geq 5+10$$

Add 5 and 10 to get 15.

$$3x\geq 15$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x\geq \frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x\geq 5$$