Solve (x-500)*0.75+500*0.1=(1-0.15)x

$$( x - 500 ) \times 0.75 + 500 \times 0.1 = ( 1 - 0.15 ) x$$

Solve for x

$$x=-3250$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-500 by 0.75.

$$0.75x-375+500\times 0.1=\left(1-0.15\right)x$$

Multiply 500 and 0.1 to get 50.

$$0.75x-375+50=\left(1-0.15\right)x$$

Add -375 and 50 to get -325.

$$0.75x-325=\left(1-0.15\right)x$$

Subtract 0.15 from 1 to get 0.85.

$$0.75x-325=0.85x$$

Subtract 0.85x from both sides.

$$0.75x-325-0.85x=0$$

Combine 0.75x and -0.85x to get -0.1x.

$$-0.1x-325=0$$

Add 325 to both sides. Anything plus zero gives itself.

$$-0.1x=325$$

Divide both sides by -0.1.

$$x=\frac{325}{-0.1}$$

Expand \frac{325}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{3250}{-1}$$

Fraction \frac{3250}{-1} can be rewritten as -3250 by extracting the negative sign.

$$x=-3250$$