Solve (-3x-286)+(1/2x-150)+(3x-365)

$$( - 3 x - 286 ) + ( \frac { 1 } { 2 } x - 150 ) + ( 3 x - 365 )$$

Evaluate

$$\frac{x}{2}-801$$

Solution Steps

Combine -3x and \frac{1}{2}x to get -\frac{5}{2}x.

$$-\frac{5}{2}x-286-150+3x-365$$

Subtract 150 from -286 to get -436.

$$-\frac{5}{2}x-436+3x-365$$

Combine -\frac{5}{2}x and 3x to get \frac{1}{2}x.

$$\frac{1}{2}x-436-365$$

Subtract 365 from -436 to get -801.

$$\frac{1}{2}x-801$$

Factor

$$\frac{x-1602}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{x-1602}{2}$$

Consider -6x-572+x-300+6x-730. Multiply and combine like terms.

$$x-1602$$

Rewrite the complete factored expression.

$$\frac{x-1602}{2}$$