Solve 40(x-0.5)+120left(x-6.5right)=3600

$$40(x-0.5)+120 \left( x-6.5 \right) = 3600$$

Solve for x

$$x=27.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 40 by x-0.5.

$$40x-20+120\left(x-6.5\right)=3600$$

Use the distributive property to multiply 120 by x-6.5.

$$40x-20+120x-780=3600$$

Combine 40x and 120x to get 160x.

$$160x-20-780=3600$$

Subtract 780 from -20 to get -800.

$$160x-800=3600$$

Add 800 to both sides.

$$160x=3600+800$$

Add 3600 and 800 to get 4400.

$$160x=4400$$

Divide both sides by 160.

$$x=\frac{4400}{160}$$

Reduce the fraction \frac{4400}{160} to lowest terms by extracting and canceling out 80.

$$x=\frac{55}{2}$$