Solve 2(x-5)+3x>2+(x-8)

$$2 ( x - 5 ) + 3 x > 2 + ( x - 8 )$$

Solve for x

$$x>1$$

Solution Steps

Use the distributive property to multiply 2 by x-5.

$$2x-10+3x>2+x-8$$

Combine 2x and 3x to get 5x.

$$5x-10>2+x-8$$

Subtract 8 from 2 to get -6.

$$5x-10>-6+x$$

Subtract x from both sides.

$$5x-10-x>-6$$

Combine 5x and -x to get 4x.

$$4x-10>-6$$

Add 10 to both sides.

$$4x>-6+10$$

Add -6 and 10 to get 4.

$$4x>4$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x>\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$x>1$$