Solve 6000+left(x-1right)0.75*6000=0.80*6000x

$$6000+ \left( x-1 \right) 0.75 \cdot 6000 = 0.80 \cdot 6000x$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply 0.75 and 6000 to get 4500.

$$6000+\left(x-1\right)\times 4500=0.8\times 6000x$$

Use the distributive property to multiply x-1 by 4500.

$$6000+4500x-4500=0.8\times 6000x$$

Subtract 4500 from 6000 to get 1500.

$$1500+4500x=0.8\times 6000x$$

Multiply 0.8 and 6000 to get 4800.

$$1500+4500x=4800x$$

Subtract 4800x from both sides.

$$1500+4500x-4800x=0$$

Combine 4500x and -4800x to get -300x.

$$1500-300x=0$$

Subtract 1500 from both sides. Anything subtracted from zero gives its negation.

$$-300x=-1500$$

Divide both sides by -300.

$$x=\frac{-1500}{-300}$$

Divide -1500 by -300 to get 5.

$$x=5$$