Solve 1.2*5(1000-x)+1.5*8x=7800

$$1.2 \times 5(1000-x)+1.5 \times 8x=7800$$

Solve for x

$$x=300$$

Steps for Solving Linear Equation

Multiply 1.2 and 5 to get 6.

$$6\left(1000-x\right)+1.5\times 8x=7800$$

Use the distributive property to multiply 6 by 1000-x.

$$6000-6x+1.5\times 8x=7800$$

Multiply 1.5 and 8 to get 12.

$$6000-6x+12x=7800$$

Combine -6x and 12x to get 6x.

$$6000+6x=7800$$

Subtract 6000 from both sides.

$$6x=7800-6000$$

Subtract 6000 from 7800 to get 1800.

$$6x=1800$$

Divide both sides by 6.

$$x=\frac{1800}{6}$$

Divide 1800 by 6 to get 300.

$$x=300$$