Solve 2x+5>3(x-1)

$$2 x + 5 > 3 ( x - 1 )$$

Solve for x

$$x<8$$

Solution Steps

Use the distributive property to multiply 3 by x-1.

$$2x+5>3x-3$$

Subtract 3x from both sides.

$$2x+5-3x>-3$$

Combine 2x and -3x to get -x.

$$-x+5>-3$$

Subtract 5 from both sides.

$$-x>-3-5$$

Subtract 5 from -3 to get -8.

$$-x>-8$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x<\frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$x<8$$