Solve 0.06x+0.4(x-2000)=190

$$0.06 x + 0.4 ( x - 2000 ) = 190$$

Solve for x

$$x = \frac{49500}{23} = 2152\frac{4}{23} \approx 2152.173913043$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x-2000.

$$0.06x+0.4x-800=190$$

Combine 0.06x and 0.4x to get 0.46x.

$$0.46x-800=190$$

Add 800 to both sides.

$$0.46x=190+800$$

Add 190 and 800 to get 990.

$$0.46x=990$$

Divide both sides by 0.46.

$$x=\frac{990}{0.46}$$

Expand \frac{990}{0.46} by multiplying both numerator and the denominator by 100.

$$x=\frac{99000}{46}$$

Reduce the fraction \frac{99000}{46} to lowest terms by extracting and canceling out 2.

$$x=\frac{49500}{23}$$